Question 417593

shorter side is x and longer side is x+4 .

hypotenuse = 8+x


(8+x)^2 = x^2 + (x+4)^2

=> x^2 + 16x + 64 = x^2 + x^2 + 8x + 16

=> x^2 + 8x +16 - 16x -64 = 0

=> x^2 - 8x -48 = 0

=> x^2 - 12x + 4x -48 = 0

=> x(x-12) +4(x-12) = 0

=> (x+4)(x-12) = 0

so, x =12, because  x= -4 is not possible..


so, sides are 12, 16 and 20