SOLUTION: One leg of a right triangle with hypotenuse 15 cm is 3 cm longer than the other leg. What is the length of the two legs?
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Question 300414: One leg of a right triangle with hypotenuse 15 cm is 3 cm longer than the other leg. What is the length of the two legs? Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! x^2+(x+3)^2=15^2
x^2+x^2+6x+9=225
2x^2+6x+9-225=0
2x^2+6x-216=0
2(x^2+3x-108)=0
2(x+12)(x-9)=0
x-9=0
x=9 ans. for the short side.
9+3=12 ans. for the longer side.
Proof:
9*2+12^2=15^2
81+144=225
225=225
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