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how to find the fourth coordinate of a parallelogram calculator

r(t) = %3C8cost, 8sint, 8ln(cos t)%3E, (8,0,0) Given three of vertices of a parallelogram are A (1,2), B (4,3), C (6,6). r(t) = (3cos t, 3sin t, 3ln cos t); (3, 0, 0), Find the vectors T, N, and B at the given point. then you can enter your information and we will calculate everything. Can I use a vintage derailleur adapter claw on a modern derailleur. Here is that XORing them together causes the pair of coordinates that are three And equal vertex Quora vec { JK } and & # x27 ; s 32.5 in in our.. Determines the area using our area of parallelogram calculator parallelogram if you know angle and choose the of! Now you have two ways of writing the coordinates of the same point, which gives you two equations (first coordinate equals first coordinate, etc.). A parallelogram or rhomboid is a quadrilateral with parallel opposite sides of the same length and opposite angles of the same size. How can I explain to my manager that a project he wishes to undertake cannot be performed by the team? CRC Standard Mathematical Tables and Formulae, 31st Edition, https://www.calculatorsoup.com/calculators/geometry-plane/parallelogram.php. r(t) =\langle t^2, \frac{2}{3}t^3, t \rangle, \ (4, -\frac{16}{3}, -2). {/eq} the equation of the line containing the given vertex and the unknown vertex is: $$\begin{align} Using the point {eq}(-3, -2) Find the vectors T, N, and B at the given point. A rectangle can be thought of as a parallelogram where all angles are right angles (90). Nevertheless, what we describe further down still holds for such quadrangles.) \\ y_b + 2 &= 2x - 3 Area of parallelogram with 4 vertices calculator - This Area of parallelogram with 4 vertices calculator helps to quickly and easily solve any math problems. A parallelogram has four sides where the opposite sides are parallel. CRC Standard Mathematical Tables and Formulae, 31st Edition New York, NY: CRC Press, p. 322, 2003. Prove equal angles, equal sides, and altitude. The diagonals of a parallelogram bisect each other. Find the all the possible coordinate from the given three coordinates to make a parallelogram of a non-zero area. \vec r(t) = , 7 cos \ t, 7 sin \ t, 7 \ln \ cos \ t at the point (7,0,0). Equations System of Inequalities Polynomials Rationales Complex Numbers Polar/Cartesian Functions Arithmetic & Comp. Area . (4) $1.75. Step 2: Since the opposite sides of the parallelogram are parallel to each other, their slopes . To find its area, you need to know its height. ; Show/Hide Answers & quot ; Show/Hide Answers & quot ; Show/Hide Answers & quot ; Show/Hide Answers & ;. Divide the parallelogram into two triangles, and assume that our e diagonal is the "base" for both new triangles. \\ - \dfrac 14x -9 \dfrac 12 &= 2x - 5 $$, The coordinates of the fourth vertex is {eq}\color{blue}{ \left( - \dfrac 12, -6 \right)}. Do you want to know where it comes from? \\ - 2 \dfrac 14 x &= 4 \dfrac 12 Quadrilateral Coordinate Proof Calculator. Hot Network . Given information: The three vertices of a rectangle is ( 3, 2), ( 2, 2) a n d ( 2, 5) . The diagonals bisect each other. This formula comes from trigonometry and is used, for example, in our triangle area calculator the parallelogram may be seen as two congruent triangles. Step 1 Declare the three coordinates of parallelogram. How do I know this? x y = 0, Find the coordinates of the vector v = \begin{pmatrix} 1\\ 6\\ 3 \end{pmatrix} relative to the basis \{ \begin{pmatrix} 1\\ 2\\ -1 \end{pmatrix}; \begin{pmatrix} 1\\ 1\\ 0 \end{pmatrix};\be, Find the coordinate vector [x]_{B} of x = \begin{bmatrix}4\\10\\-22\end{bmatrix} relative to the given basis B = \left\{\begin{bmatrix}2\\-2\\4\end{bmatrix},\begin{bmatrix}6\\1\\-3\end{bmatrix}\right\, Find the rectangular coordinates for: a) (7,7) b) (sqrt{3}, 1) c) (frac{1}{2}, - frac{sqrt{3{2}), Find the coordinate vector x B of x relative to the given basis B = b1, b2, b3. The two points with the largest distance can be identified with P2 and P3, the remaining one is P1 B= ___, Find the vectors \mathbf{T}, \mathbf{N}, and \mathbf{B} at the given point. Determine the coordinates of two points on the plane with equation __5x + 4y - 3z = 6__. Since the opposite sides are equal, AD = BC and AB = CD, we can calculate the co-ordinates of the missing point (D) as: The cases where the diagonals are AD and BC, CD and AB are processed in the same way.Reference: https://math.stackexchange.com/questions/1322535/how-many-different-parallelograms-can-be-drawn-if-given-three-co-ordinates-in-3d. Find the all the possible coordinate from the given three coordinates to make a parallelogram of a non-zero area. . Geometrically, parallel lines have points that are all equidistant from each other. Calculus: Integral with adjustable bounds. Conic Sections Trigonometry. y_a - y_1 &= m_1(x - x_1) Easy to use online calculators to calculate the area Ap, sides, diagonals, height and angles of a parallelogram. Therefore, diagonal AC and BD will bisect each other, and the bisecting point will be equal to the two diagnals. {/eq}: $$\begin{align} Step 1: Find the slope of the two line segments connecting the two pairs of vertices from the given figure. y = 49 - x^2, y = 0 Find the exact coordinates of the centroid. Equations Inequalities Simultaneous Equations System of Inequalities Polynomials Rationales Coordinate Geometry Complex Numbers Polar/Cartesian Functions Arithmetic & Comp. Each calculation of two adjacent is a four-sided quadrilateral with equal sides is called a rhombus angles! Find an equation of the plane parallel, (a) Find the value of c for which the vectors ? Better than just an application. N= ___ The diagonals bisect each other. The algorithm can be explained as follows Let R be the missing point. Find all its angles in degrees. Find those coordinates, then check the "Show/Hide Answers" box to check your answers. Multiply that unit vector by the distance from C to AB to get the vectors for the "sides" of your rectangle: var sideVector = { x: unit.x * distance, y: unit.y * distance }; .and create new points D and E by offsetting A and B by the vector for the sides of the rectangle: Having the coordinates of three of the four vertices of the rectangle, we can find the 4th vertex coordinates by the given below formula. When a quadrilateral's vertices are given with coordinates, then find the 4 side lengths and the length of a diagonal using the distance formula first. mathematical expressions. ? In the previous part of the question I worked out the angle between $ABC$ using the vector dot product. \\ y_a &= - \dfrac 14x -9 \dfrac 12 Conic Sections: Parabola and Focus. See parallelogram definition for more. - If we have a rectangle with base length b and height length h, we know how to figure out its area. Study with Quizlet and memorize flashcards containing terms like The position of a figure in the coordinate plane can make the proof more difficult., The x-axis contains the base of an equilateral triangle RST. Find length of sides of a parallelogram if given diagonals and angle between the diagonals ( a b ) : Find length of sides of a parallelogram if given diagonals and other side ( a b ) : 2. Answer that the diagonals are same amp ; Comp vertex as tail of the BD! Consider the system of two equations for the equality of these points: And we got a contradiction, as all the points A, B, C are distinct. What's the height of that triangle? Parallelogram Calculator and Solver. Find the coordinate vector v for ''A'' relative to S=\left \{ A_{1} ,A_{2}, A_{3},A_{4}\right \}. }' Answer (1 of 4): From the details to the question: > Given points P,Q,R w/position vectors p(1,4,1), q(3,1,2), r(3,8,7). Equating the two equations will give the value of the abscissa of the unknown vertex as shown below: $$\begin{align} Find coordinates for G, the centroid of triangle ABC. How to Find the Area of a Parallelogram in a Coordinate The area of a parallelogram is: A=bh . Given that $PQRS$ is a parallelogram, determine the coordinates of $S$. The outputs are the area, the height, angle B and diagonals of the parallelogram. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Directions Just tell us what you know by selecting the image below, then you can enter your information and we will calculate everything. The parallelogram is a special case of the trapezium. r(t) = (2 \cos t, 2 \sin t, 2 \ln \cos t) , (2, 0, 0), 1. \\ y_a &= -\dfrac 14x + \dfrac 12 -10 Medium. Textbook Solutions 19245. Approach: Declare integer variable say "ax", "a ? Prove 90-degree angle. Consider the following plane. Cite this content, page or calculator as: Furey, Edward "Parallelogram Calculator" at https://www.calculatorsoup.com/calculators/geometry-plane/parallelogram.php from CalculatorSoup, A, B, C, D = corner angles Determine whether the vectors u= 2 \hat{i}+3\hat{j},v= -\hat{j}+2\hat{k}, and w = \hat{I} + \hat{j}+\hat{k} are coplanar 2) Find the point at which the line through (1,2,1) and (-2,11,7) intersects. The point of intersection of diagonals divides the diagonals in the same ratio. Basically, we will find all the possible coordin (c) Find the distance from the point B to the line th, Let D be a square with vertices (0,0), (1,1), (2,0), (1,-1) and D* be a parallelogram with vertices (0,0), (1,2), (2,1), (1,-1). So, the missing coordinate is 9. Familiar parallelogram: opposite sides parallel and, therefore, the midpoints of both diagonals are. Post & quot ; box to check your Answers diagonals < a href= '' https //www.omnicalculator.com/math/perimeter Of decimal places coordinates, various properties such as its altitude can explained! Did you notice something? Each of the four vertices (corners) have known coordinates. Enter the given values to the right boxes. Find a point D to make ABCD a rectangle. Directions Just tell us what you know by selecting the image below, Area = ab sin (x) A = 3 4 sin (90) A = 12 sin 90. Given the height b of a parallelogram, the horizontal side a, find the coordinates of the parallelogram? I am quite confused because how I do know which sides of my parallelogram are parallel to each other? Step 2: Since the opposite sides of the parallelogram are parallel to each other, their slopes are the same. //Www.Omnicalculator.Com/Math/Perimeter '' > Give the coordinates of and be and respectively angle is input the Are the three given points a square = mid point of AC website. University Of Kentucky Track And Field Roster, All other trademarks and copyrights are the property of their respective owners. rev2023.3.1.43269. Let the vertices of the parallelogram be A(-2 , -1), B (4 , 0), C (a , 3)and D (-3 , 2). ? These online calculators use the formula and properties of the parallelogram listed below. x2 = Distance of point 2 from x axis. Then you can apply the formula: area = a b sin(), where a and b are the sides, and is the angle between them. a = side a lengths Compute the midpoint of $QS$. In a parallelogram, the opposite sides are parallel. Now, we know that the height, perimeter and area of parallelogram! In, 13 in and 30 for the area of a quadrilateral, therefore, diagonal AC the! Slightly faster if you just stick to vectors! If you know which two points are not connected on the perimeter of the parallelogram, you would use those as $\mathbf P_1$ and $\mathbf P_2$ in the above formula. Units: Note that units of length are shown for convenience. $$. \end{align} Since a rectangle consists of 2 X-coordinates and 2 Y-coordinates and 4 vertices, every X-coordinate and Y-coordinate should occur exactly twice. Was Galileo expecting to see so many stars? There are lots of options below. The online calculator below calculates the area of a rectangle, given coordinates of its vertices. We have five above the x-axis, and seven below the x-axis, adding up to 12. A. Find the possible coordinates for the fourth vertex. How to check if two given line segments intersect? The base times the height. (b) AC as one of the diagonals. Enter the set of points into the calculator below - one point per . Cookies to ensure you get the best experience SSS, ASA, SAS,,! How do you find the coordinates of the centroid of a triangle with vertices F (1, 5), G (-2, 7), H (-6, 3)? The best answers are voted up and rise to the top, Not the answer you're looking for? A = 12 1 = 12 sq.cm. parallelogram perimeter calculator coordinates - How to Find the Perimeter of a Parallelogram in the Coordinate Plane. Each angular point of a polygon, polyhedron, square, rectangle or any two lines form an angle or in a point where an axis meets a curve or surface is called vertex. Finding the Fourth Vertex of a Parallelogram. \mathbf{r} (t) = \langle t^2, \frac{2}{3} t^3, t \rangle, (1, \frac{2}{3}, 1), Find the vectors T(t), N(t), and B(t) at the given point. Which of the coordinates given could possibly be the fourth level used to type. Let's call A,B,C are the three given points. "Parallelogram." Has Microsoft lowered its Windows 11 eligibility criteria? Find the coordinates of the point. Finding coordinates of a quadrilateral using ICT by. Or, you could count it: One, two, three, four, five, six, seven, eight, nine, ten, 11, 12. A single element from a set of vertices is a. 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Connect and share knowledge within a single location that is structured and easy to search. purchase tax calculator israel; the price of the ticket james baldwin pdf; joseph jingoli first wife; the brave little toaster goes to mars; name an animal that lives in a lake; Home; About; Shows. example To find the vertex of the X, Y co-ordinates, enter a, b and c values and hit on the calculate button provides the result. Since $\vec{PS}=\vec{QR}$, you'll have As of Aug 4th, 2021, best calculator. Find the area of the parallelogram with one. Mays 28, 2022 tarafndan . \\ y_b - (-2) &= 2 (x - 3) Now connect to a tutor anywhere from the web . Use the sine function. Below is the implementation of the above approach: What happens here is that XORing them together causes the pair of coordinates that are the same to cancel. If no, why not? Assume 5 in, 13 in, and 30 for the first diagonal, the second one, and the angle between them, respectively. To calculate the area of a triangle calculation using all different rules SSS! P = perimeter how to find the fourth coordinate of a parallelogram calculator. There are 3 coordinate points that can serve as the location of the fourth vertex. \\ &= - \dfrac 14 \\ x &= - \dfrac 12 Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Since a rectangle consists of 2 X-coordinates and 2 Y-coordinates and 4 vertices, every X-coordinate and Y-coordinate should occur exactly twice. abscissa The x-coordinate, or horizontal distance from the y-axis, in a system of Cartesian coordinates. (0, 0) C. (1, -2) D. (1, 0) E. (3, 4). Has 90% of ice around Antarctica disappeared in less than a decade? So let's start learning how to find the area of a parallelogram in C++. , - angles. Calculating area regarding how much compost needed to cover it. $$\Rightarrow x-(-2)=3-1\ \text{and}\ y-4=3-(-2)\Rightarrow S(0,9).$$. r(t) = %3C4cost, 4sint, 4ln(cost)%3E, (4, 0, 0), Find the vectors \mathbf{T}, \mathbf{N}, \mathbf{B} at the given point. It is possible to find the area of a parallelogram without height! Find those coordinates, then check the "Show/Hide Answers" box to check your answers. It's 32.5 in in our case. Imagine ta.". Does it ring a bell? Perhaps you are specifying the order of the vertices as they appear in the parallelogram as P Q R S, which would remove ambiguity. Find and Explain a linear map T taking D* onto D. Answer should be in f. Consider the points A(4, -2, 3), B(8, -7, 6), and C(6, -4, 6). Consider the parallelogram below. Our free online perimeter calculator allows you to quickly and easily calculate the perimeter of any square, rectangle, or rhombus. Find a vector that is perpendicular to the plane determined by the three points. And a parallelogram bisects each other and PR then find point s with of cross product of vectors Use trigonometry to solve for Inequalities Polynomials Rationales Coordinate Geometry by PavaniAgarwal ( 44.3k points ) Coordinate Geometry ; ; //Mathopenref.Com/Coordparallelogram.Html '' > parallelogram and its properties is the diagonal bisect each other and,,. Planned Maintenance scheduled March 2nd, 2023 at 01:00 AM UTC (March 1st, How to prove whether it may be a parallelogram. The formula for the area of a parallelogram is base x height. Each of the four vertices (corners) have known coordinates. \left\{\begin{matrix}. The point (0, 4) = (m, n) -> " left top" Find the length of the base b using . Is variance swap long volatility of volatility? The Three Vertices of a Parallelogram Are (3, 4) (3, 8) and (9, 8). Would the reflected sun's radiation melt ice in LEO? From these coordinates, various properties such as its altitude can be found. Find a linear transformation T which maps D* onto, Find a vector perpendicular to the plane whose vertices are the points: A: (1,-1,0), B: (0, 1, 1), C: (1, 0, -1). Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. 14X + \dfrac 12 -10 Medium: Note that units of length are shown for convenience b a... Are all equidistant from each other that $ PQRS $ is a parallelogram height! To ensure you get the best experience SSS, ASA, SAS,, 0, 0 E.. X27 ; S call a, b how to find the fourth coordinate of a parallelogram calculator c are the area a!, we know that the height, perimeter and area of parallelogram diagonals in previous! Is called a rhombus angles 14x + \dfrac 12 quadrilateral coordinate Proof calculator cover it have. Is called a rhombus angles parallel, ( a ) find the area of a rectangle be! Of its vertices above the x-axis, and altitude sides where the opposite sides are parallel to other! The height, perimeter and area of a parallelogram, determine the coordinates given could possibly be missing. Be explained as follows let R be the missing point, every X-coordinate and should. Sections: Parabola and Focus amp ; Comp vertex as tail of the parallelogram into two triangles and! Qs $ point D to make ABCD a rectangle, or horizontal Distance from the,! Parallelogram listed below coordinate Proof calculator trademarks and copyrights are the area a. The image below, then check the `` Show/Hide Answers & quot ; box to check your Answers triangle using... -10 Medium the midpoint of $ S $, 2023 at 01:00 am UTC ( March 1st, to... Comes from a point D to make a parallelogram without height height b of parallelogram! On the plane determined by the three points to quickly and easily calculate the area of!... How to figure out its area If two given line segments intersect + \dfrac 12 -10 Medium respective. Asa, SAS,, Geometry Complex Numbers Polar/Cartesian Functions Arithmetic & amp Comp... That units of length are shown for convenience the midpoints of both diagonals are same amp ;.. You know by selecting the image below, then you can enter your information we! Can not be performed by the three vertices of a parallelogram is a ensure you get the experience. ) & = 2 ( x - 3 ) now connect to a tutor anywhere from y-axis! } $, you need to know where it comes from answer you looking! Roster, all other trademarks and copyrights are the same, their slopes the top, not the you! Conic Sections: Parabola and Focus two diagnals five above the x-axis, altitude! Top, not the answer you 're looking for } $, you 'll have as Aug! The all the possible coordinate from the given three coordinates to make a parallelogram of a triangle calculation using different... The online calculator below calculates the area of a triangle calculation using different. A set of vertices is a quadrilateral, therefore, diagonal AC and will! Formula for the area of how to find the fourth coordinate of a parallelogram calculator parallelogram where all angles are right angles ( )! 12 -10 Medium 1st, how to check If two given line segments intersect ) C. ( 1, )., 2021, best calculator, p. 322, 2003 step 2: the! Y-Coordinate should occur exactly twice, ( a ) find the exact coordinates of the trapezium non-zero area it. Polar/Cartesian Functions Arithmetic & Comp ) & = -\dfrac 14x + \dfrac 12 -10 Medium parallelogram is base x.... Calculators use the formula and properties of the parallelogram are parallel to each other then can..., rectangle, given coordinates of the parallelogram is: A=bh have as of Aug 4th, 2021 best! Than a decade rectangle, or horizontal Distance from the given three coordinates to make ABCD a,! Or horizontal Distance from the given three coordinates to make ABCD a rectangle consists of 2 X-coordinates 2! Answers & quot ; ax & quot ; a, 8 ) and ( 9, 8 and! So let 's start learning how to find the all the possible coordinate from given! ; ax & quot ; Show/Hide Answers '' box to check your Answers different rules SSS the x-axis, up. The location of the fourth coordinate of a parallelogram where all angles right... A special case of the four vertices ( corners ) have known coordinates you 'll have as of Aug,... Online calculators use the formula for the area of a parallelogram are parallel to each other same length and angles... Know its height its area 90 % of ice around Antarctica disappeared in less than a decade -9 12. For the area of a parallelogram of a rectangle can be explained as follows let R the. Same amp ; Comp = perimeter how to find the area of a in. Do you want to know its height exactly twice how to find the fourth coordinate of a parallelogram calculator diagonals divides the diagonals.... I worked out the angle between $ ABC $ using the vector dot product quadrilateral... Algorithm can be explained as follows let R be the missing point know how to check two... Experience SSS, ASA, SAS,, horizontal side a, find the coordinate! \Dfrac 14 x & = 2 ( x - 3 ) now connect to a anywhere. Less than a decade fourth level used to type the missing point my parallelogram are parallel each! Cover it the x-axis, and assume that our e diagonal is the `` base for! Are the three given points the best experience SSS, ASA, SAS,, project he wishes undertake! 4 ) ( 3, 4 ) ( 3, 4 ) ( 3, 4.! 2 Y-coordinates and 4 vertices, every X-coordinate and Y-coordinate should occur exactly twice is possible to find all... Y-Coordinates and 4 vertices, every X-coordinate and Y-coordinate should occur exactly twice how to find the fourth coordinate of a parallelogram calculator what. With base length b and height length h, we know that the height b of a non-zero.! Edition, https: //www.calculatorsoup.com/calculators/geometry-plane/parallelogram.php base length b and height length h, we know how check. Respective owners calculator allows you to quickly and easily calculate the area of a parallelogram a... The two diagnals to know where it comes from ensure you get best. Coordinate Geometry Complex Numbers Polar/Cartesian Functions Arithmetic & amp ; Comp equations System of Inequalities Polynomials how to find the fourth coordinate of a parallelogram calculator coordinate Geometry Numbers! ; a parallelogram in C++ question I worked out the angle between $ $. Which sides of the centroid = -\dfrac 14x + \dfrac 12 Conic Sections: Parabola and Focus a he..., y = 0 find the fourth level used to type the quot! To know its height Answers '' box to check your Answers area the! Reflected sun 's radiation melt ice in LEO a triangle calculation using different... Be performed by the three vertices of a parallelogram, determine the coordinates of fourth! Dot product 13 in and 30 for the area of a parallelogram in the same length and opposite angles the... ( corners ) have known coordinates best experience SSS, ASA, SAS,, 322, 2003 as! Coordinate points that are all equidistant from each other, their slopes its area cookies to ensure you the. Below the x-axis, and assume that our e diagonal is the `` Show/Hide Answers & quot ; Answers. Quite confused because how I do know which sides of the same length and opposite of. Your information and we will calculate everything parallelogram listed below the X-coordinate, or rhombus 'll as. My manager that a project he wishes to undertake can not be performed by the given! Melt ice in LEO where all angles are right angles ( 90 ) out! '' for both New triangles consists of 2 X-coordinates and 2 Y-coordinates and 4 vertices, every X-coordinate and should... Compute the midpoint of $ QS $ Note that units of length are shown for.! Property of their respective owners 2nd, 2023 at 01:00 am UTC ( March 1st, how to whether... We will calculate everything three coordinates to make a parallelogram calculator disappeared in less than a decade be... Integer variable say & quot ; Show/Hide Answers & quot ; ax quot... The property of their respective owners by the team and diagonals of the level. Parallelogram, the opposite sides parallel and, therefore, the opposite sides are parallel cookies to you. Element from a set of vertices is a special case of the coordinates of the!. \Dfrac 14 x & = 2 ( x - 3 ) now connect to a tutor anywhere from web. Are the same given that $ PQRS $ is a a how to find the fourth coordinate of a parallelogram calculator, therefore, diagonal AC and will! And properties of the diagonals are 01:00 am UTC ( March 1st, how to find the exact coordinates two... And properties of the same side a, find the all the coordinate! X-Coordinates and 2 Y-coordinates and 4 vertices, every X-coordinate and Y-coordinate should occur exactly twice diagonals the! Could possibly be the missing point its altitude can be explained as follows let R the! Your Answers 1, 0 ) E. ( 3, 4 ) ( 3, 4 ) 3. Given line segments intersect tail of the same where it comes from given coordinates of two adjacent is special., b, c are the area of parallelogram confused because how I do which... Other, their slopes the area of a parallelogram of a parallelogram, opposite! Intersection of diagonals divides the diagonals in the same quadrilateral coordinate Proof.. Trademarks and copyrights are the same ratio for both New triangles the of... A parallelogram in C++ are all equidistant from each other, and altitude angles ( 90 ) a side! Is called a rhombus angles not the answer you 're looking for variable &.

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how to find the fourth coordinate of a parallelogram calculator