Question 196367
let x="shorter side", so x+2="longer side"


by Pythagoras, x^2 + (x+2)^2 = 10^2


x^2 + x^2 + 4x + 4 = 100


dividing by 2 ___ x^2 + 2x + 2 = 52


subtracting 50 ___ x^2 + 2x - 48 = 0


factoring ___ (x+8)(x-6) = 0


-8 is not realistic, so the shorter side is 6 ___ and the longer side is 8