British flag theorem (Rectangles)

Description

Rectangle is any quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°). The British flag theorem says that if a point P is chosen inside rectangle ABCD then the sum of the squared Euclidean distances from P to two opposite corners of the rectangle equals the sum to the other two opposite corners.

Related formulas

Variables

APThe distance from P to the corner A (m)
CPThe distance from P to the corner C (m)
BPThe distance from P to the corner B (m)
DPThe distance from P to the corner D (m)