Question 30818
One side is longer than another so it is x+17
And the other side is x
In pythagoren theorem:


{{{(x+17)^2+x^2=25^2}}}
{{{2x^2+34x+289-625=0}}}
{{{2x^2+34x-336}}}
{{{x^2+17x-168}}}
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{x = (-17 +- sqrt( 17^2-4*1*-168 ))/(2*1) }}} 
You get two solutions remove the negative:
x = 7

7+17=24


Hence, the two sides are 7 and 24.
Paul.