Problem 252.
Rectangle, isosceles right triangle, square, area

The figure shows a rectangle ABCD.
If EAF, EBG, ECH, and EDM are isosceles right triangles of area S_{1}, S_{2}, S_{3}, and S_{4},
respectively, prove that S_{1} + S_{3}
= S_{2} + S_{4}.
View or post a solution.