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x2+(x+1)^2=(x+2)^2
x2+x2+2x+1=x2+4x+4
x2-2x-3=0
factorizando:
(x-3)(x+1)
el resultado es x=3
si reemplazas te da x=3 x+1=4 x+2=5
tu respuesta debe ser 5 la hipotenusa