find x and y

Question

for 45-45-90 triangle if the hypotenuse is 9 what would x be? (a leg) and y would be (another leg)

Answer 1

This is a 45-45-90 triangle so the to legs are the same length.

x = y

x^2 + y^2 = 9^2

2x^2 = 81

x^2 = 81/2

x = sqrt(81/2) = 6.36 feet

There are no negative lengths

 

Answer 2

x^3 - y^4 = 30, find y'