Question

Which of the following is a Pythagorean triple?

Answer 1

C: 8, 15, 17

Explanation:

The easiest way to do this is simply to memorize the first few Pythagorean triples. It saves time. But it can also be hard to remember that. To see if something is a triple...

1.
`a^(2) + b^2=c^2`. This means square the first one, the second and add. Then square the last one. The sum of the first two with the last one should be the same.

2. For this to work, they have to be in order from least to greatest. All of these are.

3. Let's fill in the equation:

8^2= 64.

15^2= 225.

225+64= 289

17^2= 289.

It matches! It's a triple.

Answer 2

C.
just plug those numbers in a Pythagorean theorem equation to see if they are triples