Question

Which set of side lengths is a Pythagorean triple?

M
1, 3, 10
4,5, 9
9, 40, 41
16, 30, 44

Answer 1

9,40,41 is a Pythagorean triple

Explanation:

Pythagorean triples are integers that're all positive and they don't have a common divisor larger than 1

Answer 2

9, 40, 41.

Explanation:

We can derive this by simply analyzing all of the answer choices and eliminating those that do not work using the Pythagorean formula: a²+b²=c²

1²+3²≠10²

4²+5²≠9²

9²+40²= 41²

16²+30²≠44²

When these are plugged into the calculator, we can see that only answer 3 satisfies the formula, making it a Pythagorean triple.