Which set of numbers represents a Pythagorean Triple?

A. 27, 38, 42

B. 33, 44, 55

C. 35, 38, 42

D. 68, 72, 81

Answer: Choice B) 33, 44, 55

The pythagorean theorem is a^2 + b^2 = c^2. A pythagorean triple is a set of positive whole numbers (a, b, c) such that all three numbers make that equation true. The 'c' is always the largest value. The order of 'a' and 'b' doesn't matter though usually 'a' is the smaller of the two. If we go through all the answer choices, we'd see that only choice B fits because

a^2+b^2 = 33^2+44^2 = 3025

and c^2 = 55^2 = 3025

therefore 33^2+44^2 = 55^2 is a true equation

Answer is B

3, 4, and 5 is a pythagorean triple

if you multiply them all by 11 you'll get 33, 44, 55

to reverse it/simplify it, divide by 11 to get 3, 4, 5