SOLUTION: In a right triangle, the hypotenuse is 1 meter more than the length of one of the legs and this leg is 17 meters more than the length of the shortest leg. What are the lengths of t

Question 494557: In a right triangle, the hypotenuse is 1 meter more than the length of one of the legs and this leg is 17 meters more than the length of the shortest leg. What are the lengths of the three sides of the triangle?
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
x^2 + (x + 17)^2 = (x + 18)^2
x^2 + x^2 + 34x + 289 =x^2 + 36x + 324
2x^2 + 34x + 289 = x^2 + 36x + 324
x^2 -2x - 35 = 0
(x -7)(x + 5)
x = 7 meters small side
24 meters = other leg.
25 meters = hypotenuse
7^2 + 24^2 = 25^2
49 + 576 = 635
This does check.
Cleomenius.

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