The length of the longer leg of a right triangle is 10ft longer than the length of the shorter leg x. The hypotenuse is 10ft shorter than twice the length of the shorter leg.

Question

 Write an equation in terms of 

x

that represents the given relationship. equation is

Answer 1

L=10+S

H=2S-10

H^2 = L^2 + S^2

(2S-10)^2 = (10+S)^2 + S^2

4S^2 -40S + 100 = S^2 + 20S + 100 + S^2

2S^2 -60S = 0

2S(S-30) =0

S-30=0

S= 30 feet

L=40 feet

H=50 feet