SOLUTION: luke road his bike on a trail that formed a right triangle. One leg of the right triangle was 5 kilometers longer than the other leg. they hypotenuse of the right triangle was 25

Question 269818: luke road his bike on a trail that formed a right triangle. One leg of the right triangle was 5 kilometers longer than the other leg. they hypotenuse of the right triangle was 25 kilometers long. How far did he ride all together?
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
The three sides are: x, x+5, 25. By Pythagorean theorem we get
(i)
expanding, we get
(ii)
combine like terms to get
(iii)
set = 0 to get
(iv)
factor to get
(v)
So,
x = 15
or
x = -20
----
The three sides are: 15, 20, and 25
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