Question

The legs of a right triangle are 5 and 11. How do you find the exact value of the hypotenuse?

Answer 1

The exact value of the hypotenuse is `c=sqrt146`.

Explanation:

To solve this question you need to use the pythagorean theorem.
Which states `a^2+b^2=c^2`.
Where `a` and `b` are both legs and `c` is the hypotenuse.
Knowing this information we can plug in our values :)

`5^2+11^2=c^2`

We need to solve for `c` since we are trying to find the length of the hypothenuse.

`146=c^2`

Take the square root of both sides.

`sqrt146=sqrt(c^2)`

Now we are left with:

`sqrt146=c`

Which is approximately equal to `12.08`