question_answer

Right isosceles triangles are constructed on the sides of right angled \[\Delta ABC\] with sides 3, 4, 5 units, as shown. A capital letter indicates area of each triangle. Which one of the following is true?

A)  X+Z = Y+W

B)         W + X = Z

C)         Y + Z = X

D)        \[X+W=\frac{1}{2}(Y+Z)\]