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The hypotenuse of a right triangle is 5cm longer. the shorter leg is 1 cm shorter than the longer leg. find the side lengths of the triangle.

Respuesta :

x² +(x+1)²=5²
2x² +2x +1=25
x²+x-12=0
(x-3)(x+4)=0
x=3, or x=-4, which is impossible
so x=3, x+1=4
one leg is 3, the other leg is 4

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