Orthodiagonal quadrilateral (the sum of the squares of two opposite sides)

Description

In Euclidean geometry, an orthodiagonal quadrilateral is a quadrilateral in which the diagonals cross at right angles. It is a four-sided figure in which the line segments between non-adjacent vertices are orthogonal to each other. For any orthodiagonal quadrilateral, the sum of the squares of two opposite sides equals that of the other two opposite sides. Conversely, any quadrilateral in which the sum of the squares of two opposite sides equals that of the other two opposite sides must be orthodiagonal.

Related formulas

Variables

aLength of the one side of the angle A of the orthogonal quadrilateral ABCD (m)
cLength of the side, opposite to the side a, of the orthogonal quadrilateral (m)
bLength of the other side of the angle A of the orthogonal quadrilateral ABCD (m)
dLength of the side, opposite to the side b, of the orthogonal quadrilateral (m)