SOLUTION: A right triangle has a leg of length x and a hypotenuse of length 2x. Write an equation to find the length s of the other leg, and use it to estimate s when the hypotenuse has a l

Algebra ->  Rational-functions -> SOLUTION: A right triangle has a leg of length x and a hypotenuse of length 2x. Write an equation to find the length s of the other leg, and use it to estimate s when the hypotenuse has a l      Log On


   

Question 181284: A right triangle has a leg of length x and a hypotenuse of length 2x. Write an equation to find the length s of the other leg, and use it to estimate s when the hypotenuse has a length of 5 cm..

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2Bs%5E2=%282x%29%5E2
:
when 2x=5 x=5/2
:
%285%2F2%29%5E2%2Bs%5E2=25
:
s%5E2=25-25%2F4
:
s%5E2=75%2F4
:
s=sqrt%2875%2F4%29
:
s=5sqrt%283%29%2F2cm