Right isosceles triangles are constructed on the sides of a3−4−5 right triangle, as shown. A capital letter represents the area of each triangle. What is X+Y /z

(X + Y)/Z = 1

Step-by-step explanation:

Given the leg sides of the isosceles right triangles as 4, 5, and 3, we have

Length of the other leg sides of the isosceles triangle = Length of the given leg side sizes

Therefore, the respective height and base of each right angled isosceles triangle are equal which gives the areas as follows;

Z = 1/2*5*5 = 12.5 unit²

Y = 1/2*4*4 = 8 unit²

X = 1/2*3*3 = 4.5 unit²

W = 1/2*4*3 = 6 unit²

(X + Y)/Z = (4.5 + 8)/12.5 = 12.5/12.5 = 1.

step-by-step explanation: