Question

The legs of a right triangle are 7 and 11 inches long, respectively. What is the length of the hypotenuse?

Answer 1

`sqrt(170)`, or `13.0384`...

Explanation:

You know that the Pythagorean Theorem is:

`a^2+b^2=c^2`,
Where:
`a` is the length of one of the legs,
`b` is the length of the other leg, and
`c` is the length of the hypotenuse.

You know the lengths of the two legs are `7` and `11`, so we'll say that `a` is `7`, and `b` is `11`.

Knowing that, we can plug those into our equation and simplify like so:

`7^2+11^2=c^2`
`49+121=c^2`
`170=c^2`
`sqrt(170)=c=13.0384...`

Hope this helped!