In a right triangle with shorter sides a and b and hypotenuse c, a^2 + b^2 = c^2. This is the tool we'll use to check each set of side lengths.
A) 5^2 + (√8)^2 = 33^2 => 25 + 8 = 1098 FALSE
B) 8^2 + 15^2 = 17^2 => 64 + 225 = 289 TRUE
C) (√2)^2 + (√2)^2 = 2^2 => 2 + 2 = 4 TRUE
B and C are the correct answers. Drop A.