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+

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(39617) (Show Source): You can put this solution on YOUR website!
The hypotenuse is the longest side in any right triangle.

Answer by Alan3354(69443) (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 =~ 4.9029
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