One triangle, two triangles and three little triangles go to the market - 7/19/2025

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
  • A: X + W = Z
  • A: 3X + 4Y = 5Z
  • A: X + W = \frac{1}{2}(Z + Y)
  • A: X + Y = Z
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