SOLUTION: find the lengths of each side in this right triangle. a=1/2x+11 b? c=2x+1 I really do not know how to solve this. i know I have to use pythagorean theorem but the half and x

Algebra ->  Finance -> SOLUTION: find the lengths of each side in this right triangle. a=1/2x+11 b? c=2x+1 I really do not know how to solve this. i know I have to use pythagorean theorem but the half and x      Log On


   

Question 953656: find the lengths of each side in this right triangle.
a=1/2x+11
b?
c=2x+1
I really do not know how to solve this. i know I have to use pythagorean theorem but the half and x etc is really throwing me off. ANy help would as always be extremely appreciated
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if a=%281%2F2%29x%2B11 and c=2x%2B1, then

b%5E2=c%5E2-a%5E2
b%5E2=%282x%2B1%29%5E2-%28%281%2F2%29x%2B11%29%5E2
b%5E2=%282x%29%5E2%2B4x%2B1-%28%28%281%2F2%29x%29%5E2%2B11x%2B121%29
b%5E2=4x%5E2%2B4x%2B1-%281%2F4%29x%5E2-11x-121%29
b%5E2=%2815%2F4%29x%5E2-7x-120
b%5E2=%281%2F4%29%2815x%5E2-28x-480%29
b=sqrt%28%281%2F4%29%2815x%5E2-28x-480%29%29
b=%281%2F2%29sqrt%2815x%5E2-28x-480%29