Respuesta :

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.