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The leght of one of a right triangle is 8ft. Theleght of the hypotenuse is 2 feet longer than the other leg. Find the legth of the hypotenuse and the other leg.

The legth of the hypotenuse is ____ft

The leght of the other leg is ____ ft

 Nov 5, 2015
 #1
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Let L be the other leg length...and we have

 

8^2 + L^2   = (L + 2)^2   simplify

 

8^2  + L^2  = L^2 + 4L + 4     subtract L^2 from both sides

 

64  = 4L + 4         subtract 4 from both sides

 

60  = 4L     divide both sides by 4

 

15 ft = L         and the hypotenuse is L + 2   = 17 ft

 

 

cool cool cool

 Nov 5, 2015
edited by CPhill  Nov 5, 2015

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