SOLUTION: the sides of a triangle have lengths x, 5x and 25 if the longest side is 25, what value of x makes the triangle a right triangle? i have done this so far: x^2+5x^2=25^2 x^2+

Algebra ->  Triangles -> SOLUTION: the sides of a triangle have lengths x, 5x and 25 if the longest side is 25, what value of x makes the triangle a right triangle? i have done this so far: x^2+5x^2=25^2 x^2+      Log On


   

Question 754698: the sides of a triangle have lengths x, 5x and 25 if the longest side is 25, what value of x makes the triangle a right triangle?
i have done this so far:
x^2+5x^2=25^2
x^2+25x=625
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
The hypotenuse is the longest side in any right triangle.
%28x%29%5E2%2B%285x%29%5E2=25%5E2

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
the sides of a triangle have lengths x, 5x and 25 if the longest side is 25, what value of x makes the triangle a right triangle?
i have done this so far:
x^2+5x^2=25^2 ****** x^2 + (5x)^2 = 25^2
x^2+25x=625 *** x^2 + 25x^2 = 625
26x^2 = 625
x+=+sqrt%28625%2F26%29
x =~ 4.9029