SOLUTION: The shorter leg of a right triangle is 5 meters. The hypotenuse is 1 meter longer than the longer leg. Find the length of the longer leg.
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Question 958675: The shorter leg of a right triangle is 5 meters. The hypotenuse is 1 meter longer than the longer leg. Find the length of the longer leg.
Answer by amarjeeth123(569) (Show Source): You can put this solution on YOUR website!
Let the length of the longer leg be x
Then the length of the hypotenuse is (x+1).
We have (x+1)^2=x^2+25
x^2+2x+1=x^2+25
2x+1=25
2x=24
x=12.
The length of the longer leg is 12 metres.
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