选择题

2002 AMC 8 Problem 16: Right Isosceles Triangles on a 3-4-5 Triangle

Right isosceles triangles are constructed on the sides of a 3-4-5 right triangle, as shown. A capital letter represents the area of each triangle. Which one of the following is true?

A.
X + Z = W + Y
B.
W + X = Z
C.
3X + 4Y = 5Z
D.
X + W = 1/2(Y + Z)
E.
X + Y = Z