Question

The sides of a right- sngled triangle are x+1,x+2,x+3.​

Answer 1

${(x + 1)}^{2} + {(x + 2)}^{2} = {(x + 3)}^{2} \\ ( {x}^{2} + 1 + 2x) + ( {x}^{2} + 4 + 4x) = ( {x}^{2} + 9 + 6x) \\ 2 {x}^{2} + 6x + 5 = {x}^{2} + 9 + 6x \\ {x }^{2} = 4 \\ x = 2 \: or \: x = - 2$