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 183505: 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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