Question 622706
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Hi,
the sides of a triangle have lengths of x, x+5, and 25. 
if the longest side is 25, which of the following values of x would make the right triangle?
Applying the Pythagorean Theorem:
 x^2 + (x+5)^2 = 25^2
 x^2 + x^2 + 10x + 25 = 625
    2x^2 + 10x - 600 = 0
     x^2 + 5x - 300 = 0
 factoring
   (x+ 20)(x-15) = 0
  x = 15  (throwing out negative soution for length)