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Cateto1=c
Cateto2= c + 7
Por Pitágoras.
c² + ( c + 7)² = 17²
c² + c² + 14 c + 49 = 289
2c² + 14 c = 240
c( c + 7 )= 240/2
c(c+7 ) = 120
c( C+ 7) = 8 ( 15)
8 ( 8 + 7) = 8 ( 15)
De donde c= 8
Cateto 2= c + 7 = 8 +7 = 15
Respuesta : Los catetos miden 8cm y 15 cm