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aplicando pitagoras:
17²=x²+(x+7)²
289=x²+x²+14x+49
0=2x²+14x+49-289
0=2x²+14x-240 dividiendo todo entre 2
0=x²+7x-120
0=(x+15)(x-8)
x+15=0 x-8=0
x= -15 x=8
tomamos el valor positivo.
x=8
x+7........8+7=15
los catetos miden 8 cm y 15 cm