# One leg of a right triagle is 2 cm more than the other . The hypotenuse is 10 cm . Find the measure of two legs

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by drylips03

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by drylips03

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'x + 2' be the length of the other leg

remember that it is a right triangle then we may use pythagorean theorem

c² = a² + b²

where c is the hypotenuse and a & b are the legs

10² = x² + (x + 2)²

100 = x² + x² + 4x + 4

2x² + 4x +4 - 100 = 0

2x² + 4x - 96 = 0

dividing the whole equation with 2

x² + 2x - 48 = 0

(x+8)(x-6) = 0

x = -8, x = 6

taking the positive values you'll have: