SOLUTION: the difference of the two legs of a right triangle is 7 and the hypotenuse is 17. find the perimeter of the triangle

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Question 905254: the difference of the two legs of a right triangle is 7 and the hypotenuse is 17. find the perimeter of the triangle
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A-B=7
A%5E2%2BB%5E2=17%5E2
Substitute,
A=7%2BB
%287%2BB%29%5E2%2BB%5E2=289
49%2B14B%2BB%5E2%2BB%5E2=289
2B%5E2%2B14B-240=0
B%5E2%2B7B-120=0
%28B%2B15%29%28B-8%29=0
Two solutions but only one is positive.
B-8=0
highlight%28B=8%29
Then,
A-8=7
highlight%28A=15%29