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 formulasVariables
AP | The distance from P to the corner A (m) |
CP | The distance from P to the corner C (m) |
BP | The distance from P to the corner B (m) |
DP | The distance from P to the corner D (m) |