Question 813958
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Hi,
Hypotenuse of a right triangle is 13 cm.
Sum of the two other sides is 17 cm.
Let unknown sides be represented by:  x  and (17-x)
 {{{x^2 + (17-x)^2 = 13^2}}}
     x^2+ 289 -34x +x^2 = 169 
2x^2 -34x + 120 = 0
  x^2 - 17x + 60 = 0
 (x-5)(x-12) = 0 
 (x-5) = 0,  x = 5cm
(x-12) = 0,  x = 12cm