SOLUTION: Question 11 The longer leg of a right triangle is 4m longer than the shorter leg. The hypotenuse is 8m longer than the shorter leg. Find the side lengths of the triangle.

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Question 1112581: Question 11
The longer leg of a right triangle is 4m longer than the shorter leg.
The hypotenuse is 8m longer than the shorter leg. Find the side lengths of the triangle.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
 +  = .


x^2 + x^2 + 8x + 16 = x^2 + 16x + 64.


x2 - 8x - 48 = 0


(x-12)*(x+4) = 0


The only positive root x= 12 works.


Check.   12^2 + 16^2 = 144 + 256 = 400 = 20^2.


Answer.  (12,16,20), classic (3,4,5)-right angled triangle.


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