SOLUTION: the hypotenuse of a right triangle is 25. the sum of the other 2 sides is 31. determine their lengths.

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Question 1056979: the hypotenuse of a right triangle is 25. the sum of the other 2 sides is 31. determine their lengths.
Answer by ikleyn(52780) About Me  (Show Source):
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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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x%5E2+%2B+%2831-x%29%5E2 = 25%5E2.

Solve for x.

x%5E2+%2B+961+-+62x+%2B+x%5E2 = 625,

2x%5E2+-62x+%2B+336 = 0,

x%5E2+-31x+%2B+168 = 0,

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

the roots are x= 24  and  x= 7.

Answer.  24 and 7 unites.