Question 1056979
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the hypotenuse of a right triangle is 25. the sum of the other 2 sides is 31. determine their lengths.
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<pre>
{{{x^2 + (31-x)^2}}} = {{{25^2}}}.

Solve for x.

{{{x^2 + 961 - 62x + x^2}}} = 625,

{{{2x^2 -62x + 336}}} = 0,

{{{x^2 -31x + 168}}} = 0,

(x-24)*(x-7) = 0,

the roots are x= 24  and  x= 7.

<U>Answer</U>.  24 and 7 unites.
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