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+ 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

 

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