Question 407130
The sum of the 2 legs must be 60 - 25  = 35 inches.
Let x = measure of one leg
==> 35 - x = measure of other leg.
==> {{{x^2 + (35 - x)^2 = 25^2}}}
<==> {{{x^2 + 1225 - 70x + x^2 = 625}}}
<==> {{{2x^2 -70x + 600 = 0}}}
<==> {{{x^2 - 35x + 300 = 0}}}
<==> (x - 20)(x - 15) = 0
==> x = 20, 15
Incidentally these are also the only pair of values that will satisfy the conditions of the problem.