SOLUTION: Find the length of x. It is a right triangle with the hypotenuse measuring 25. The other sides are (x+3) and 4(x+2). Thank you

Algebra ->  Triangles -> SOLUTION: Find the length of x. It is a right triangle with the hypotenuse measuring 25. The other sides are (x+3) and 4(x+2). Thank you      Log On


   

Question 250077: Find the length of x. It is a right triangle with the hypotenuse measuring 25. The other sides are (x+3) and 4(x+2).
Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
A%5E2%2BB%5E2=H%5E2
%28x%2B3%29%5E2%2B%284%28x%2B2%29%29%5E2=25%5E2
%28x%5E2%2B6x%2B9%29%2B16%28x%5E2%2B4x%2B4%29=625
x%5E2%2B16x%5E2%2B6x%2B64x%2B9%2B64=625
17x%5E2%2B70x%2B73=625
17x%5E2%2B70x-552=0
%2817x%2B138%29%28x-4%29=0
Only the positive value for x is valid.
x=4
The lengths are then 7 and 24.