Question

Which side lengths could be used to create a right triangle?

6, 8, 10

3, 5, 6

7, 12, 13

6, 8, 14

Answer 1

The correct answer you’re looking for is 6, 8, and 10

Explanation:

The way we can find this is by using the Pythagorean theorem. (
`a^(2) +b^(2) =c^(2)`) In this case, 10, the hypotenuse, must be squared and then equal to the sum of the other numbers, 6 and 8, squared looking like this
`6^(2)+8^(2) =10^(2)`

With
`6^(2)`, equaling 36, and
`8^(2)`, equaling 64, they add up to 100.

`10^(2)` is 100. So they do match. This is why 6, 8, and 10 are the correct answers

Another method you could do is get Plug in the numbers, which should equal 100.

I hope this was helpful!