SOLUTION: The length of one leg of a right triangle is 7 meters less than the length of the other leg. The length of the hypotenuse is 13 meters. Find the lengths of the legs.
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Question 183496: The length of one leg of a right triangle is 7 meters less than the length of the other leg. The length of the hypotenuse is 13 meters. Find the lengths of the legs. Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! X^2+(X-7)^2=13^2
X^2+X^2-14X+49=169
2X^2-14X+49-169=0
2X^2-14X-120=0
2(X^2-7X-60)=0
2(X-12)(X+5)=0
X-12=0
X=12 ANS
12-7=5 ANS.
PROOF:
12^2+5^2=13^2
144+25=169
169=169
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