The lengths ofthe sides of a right-angled triangle at (3x+ 1)cm, (3x - 1)cm and xcm.

3 answers

and the question is???
Guessing that the question is to find the sides.

x^2 + (3x-1)^2 = (3x+1)^2
x^2 + 9x^2 - 6x + 1 = 9x^2 + 6x + 1
x^2 - 12x = 0

Use your favourite method to solve this quadratic,
remember that x > 0
(3x+ 1)^2 = (3x - 1)^2 + x^2

9x^2 + 6x + 1 = 9x^2 - 6x + 1 + x^2

x^2 - 12x = 0 ... x = 12