SOLUTION: Solve for x: rt triangle Short leg = x Long leg = (1/2)x + 11 Hypotenuse = 2x + 1

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Question 1021894: Solve for x:
rt triangle
Short leg = x
Long leg = (1/2)x + 11
Hypotenuse = 2x + 1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use Pythagoras,
x%5E2%2B%28x%2F2%2B11%29%5E2=%282x%2B1%29%5E2
x%5E2%2Bx%5E2%2F4%2B11x%2B++121=4x%5E2%2B4x%2B1
%2811%2F4%29x%5E2-7x-120=0
%281%2F4%29%2811x%5E2-28x-480%29=0
%28x-8%29%2811x%2B60%29=0
Only the positive solution makes sense here,
x-8=0
x=8