SOLUTION: Shinsuke Uno walked his dog on a path through a park which formed a right triangle. One leg of the right triangle was 7 meters longer than the other leg. The hypotenuse of the righ

Question 549904: Shinsuke Uno walked his dog on a path through a park which formed a right triangle. One leg of the right triangle was 7 meters longer than the other leg. The hypotenuse of the right triangle was 13 meters long. How far did he walk altogether?
Answer by asuar010(338) (Show Source): You can put this solution on YOUR website!
First set up the Pythagorean theorem as x^2 + (x+7)^2 =13^2
then start solving: x^2+x^2+14x+49=169 then 2x^2+14x-120=0 then factor it as
(2x-10)*(x+12)=0 then 2x-10=0 and x+12=0 solve for x in each case:
x=-12 and x=5, and since a distance cannot be negative the only possible answer
is 5 so the total distance traveled is 5+12+13=30
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