Finding the other legs?

so, legs x , x - 5.

x^2 + (x - 5)^2 = 625.

x^2 + x^2 - 10x + 25 = 625.

2x^2 - 10x - 600= 0.

x^2 - 5x - 300 = 0

(x - 20)(x + 15) = 0.

x = 20 , x = -15.

can't have negative length, answer x = 20. since other 1 5 meters shorter, 2 leg lengths 15 , 20 meters.

-john

one leg of right triangle 5 meters shorter other. if hypotenuse 25 meters, find lengths of other legs.

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