SOLUTION: Find the value of x Right triangle with the sides x, 2x+4, 2x+6

Algebra ->  Pythagorean-theorem -> SOLUTION: Find the value of x Right triangle with the sides x, 2x+4, 2x+6      Log On


   

Question 740931: Find the value of x
Right triangle with the sides x, 2x+4, 2x+6
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
sides: x, 2x+4=2(x+2), 2x+6=2(x+3)
so we write:

x%5E2%2B%282%28x%2B2%29%29%5E2=%282%28x%2B3%29%29%5E2
x%5E2%2B4%28x%5E2%2B4x%2B4%29=4%28x%5E2%2B6x%2B9%29
x%5E2%2B4%28x%5E2%2B4x%2B4%29-4%28x%5E2%2B6x%2B9%29=0

x%5E2-8x-20=0
x%5E2-10x%2B2x-20=0
x%28x-10%29%2B2%28x-10%29=0
%28x-10%29%28x%2B2%29=0
which gives us x=-2 or x=10
but x>0

so only x=10 works :)