3/8/2024 0 Comments Abcd is a parallelogramThe parallelogram consists of two such triangles, so the area equals e × (f/2) × sin(angle). The area of the triangle is equal to our "base" e times height and divided by 2: e × (f/4) × sin(angle) What's the height of that triangle? Use the sine function. Do you want to know where it comes from?ĭivide the parallelogram into two triangles, and assume that our e diagonal is the "base" for both new triangles. The formula comes from trigonometry as well. The adjacent angles in the parallelogram are supplementary, so you can choose whichever angle you want because sin(angle) = sin(180° - angle).Īrea given diagonals of a parallelogram and the angle between them Learn more about rectangle area with our area of a rectangle calculator.Īrea given sides and the angle between themĭoes it ring a bell? This formula comes from trigonometry and is used, for example, in our triangle area calculator – the parallelogram may be seen as two congruent triangles. 322, 2003.Did you notice something? The formula for the area of a parallelogram is pretty much the same as for a rectangle! Why is it so? Have a look at the picture: a parallelogram can be divided into a trapezoid and a right triangle and rearranged to the rectangle. Given side length b and the diagonals calculate the perimeter, height, area, side length a and angles A, B, C and DĬRC Standard Mathematical Tables and Formulae, 31st Edition New York, NY: CRC Press, p.
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