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2do cateto=x+4
hipotenusa=x+8
Entonces
(x+8)^2=(x+4)^2 + x^2
x^2 + 16x +64= x^2 +8x +16 +x^2
x^2 +8x -16x -64+16=0
x^2 -8x -48=0
(x-12)(x+4)=0
x=12
h=x+8
h=12+8
h=20