SOLUTION: One leg of a right triangle is 3in. longer than the other leg. the hypotenuse is 15. what are the lengths of the legs?
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Question 707802: One leg of a right triangle is 3in. longer than the other leg. the hypotenuse is 15. what are the lengths of the legs? Answer by checkley79(3341) (Show Source):
You can put this solution on YOUR website! A^2+B^2=C^2
A=B+3
(B+3)^2+B^2=15^2
B^2+6B+9+B^2=225
2B^2+6B+9-225=0
2B^2+6B-216=0
2(B^2+3B-108)=0
(B-9)(B+12)=0
B=9 ANS.
A=9+3=12 ANS.
PROOF:
9*2+12^2=225
81+144=225
225=225
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