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Equipo 4

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En un triangulo rectángulo un cateto excede al otro en 3cm.<br />

Determina el perímetro del triangulo si su área es 54cm 2 .<br />

X<br />

A=54cm 2<br />

Por lo tanto<br />

el resultado<br />

es : X=-12 X=9<br />

A=b.h/2<br />

54=(x+3).x/2<br />

54.2=(x+3)x<br />

108=x+ 2 +3x<br />

0=x 2 +3x-108<br />

x 2 +3x-108=0<br />

(x+12) (x-9)=0<br />

X+12=0 ó X-9=0<br />

X+3<br />

X=-12 X=9<br />

10

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