SOLUTION: The sides of a triangle habe lengths of x, x+5, and 25. If the longest side is 25, which of the following of x would make the triangle right?

Algebra ->  Triangles -> SOLUTION: The sides of a triangle habe lengths of x, x+5, and 25. If the longest side is 25, which of the following of x would make the triangle right?      Log On


   



Question 940723: The sides of a triangle habe lengths of x, x+5, and 25. If the longest side is 25, which of the following of x would make the triangle right?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If it's a right triangle, it follows the Pythagorean theorem,
x%5E2%2B%28x%2B5%29%5E2=25%5E2
x%5E2%2Bx%5E2%2B10x%2B25=625
2x%5E2%2B10x-600=0
x%5E2%2B5x-300=0
%28x%2B20%29%28x-15%29=0
Only the positive value makes sense here,
x-15=0
x=15