Respuesta :

Look at the largest triangle.  Its hypotenuse is 10, its shortest side is x, and its longer leg is sqrt(80).  Apply the Pythagorean Theorem to calculate x.  Square sqrt(80); result is 80.  Square 10; result is 100.  Square x; result is x^2.

Then, by the Pyth. Thm, 80 + x^2 = 100.  Solve first for x^2, and then take the positive square root of the result, to obtain the leg length of the largest triangle.

Think:  Would the Pyth. Thm. help you find y and/or z?