Question 269818
The three sides are: x, x+5, 25. By Pythagorean theorem we get
(i) {{{x^2 + (x+5)^2 = 25^2}}}
expanding, we get
(ii) {{{x^2 + x^2 + 10x + 25 = 625}}}
combine like terms to get
(iii) {{{2x^2 + 10x + 25 = 625}}}
set = 0 to get
(iv) {{{2x^2 + 10x - 600 = 0}}}
factor to get
(v) {{{(2x-30)(x+20 ) = 0}}}
So,
x = 15
 or
x = -20
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The three sides are: 15, 20, and 25