SOLUTION: The lengths of the legs of a right triangle are y and (3y-1)m and the hypotenuse is (3y+1)m, find y

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Question 1146004: The lengths of the legs of a right triangle are y and (3y-1)m and the hypotenuse is (3y+1)m, find y
Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!
By the Pythagorean theorem,





Factor out m² on the right side:



The factor in parentheses on the right side factors 
as the difference of squares:









All sides of a triangle must be positive so y > 0,
and we may divide both sides by y



Edwin
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