Let x: length of the shorter leg
(x + 6): length of the longer leg
(x + 12): length of hypotenuse
By Pythag Thm:
x2 + (x + 6)2 = (x + 12)2
x2 + x2 + 12x + 36 = x2 + 24x + 144
x2 - 12x - 108 = 0
(x - 18)(x + 6) = 0
x = 18 or -6 but -6 is not a valid solution
Side lengths are 18, 24, and 30. (A 3-4-5 right triangle (Egyptian triangle) scaled up by a factor of 6.)
Kate B.
Thank you so much youre a total lifesaver i was stuck on this for so so long!10/24/23