Geometry Problem: Machu Picchu Inca Trail

Parallel

 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 S1, S2, S3, and S4, respectively, prove that S1 + S3 = S2 + S4 .

Problem about rectangle, triangle, square, areas
 

See also: 

  Pythagoras Theorem
  Euclid's Elements Book II Proposition 13

Rectangle, Isosceles Right Triangle, Square, Area

 

 

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