Question

What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 4 and 36?

Answer 1

The length of the hypotenuse is `4sqrt82`.

Explanation:

To find the hypotenuse of a right triangle, we can use the Pythagorean Theorem.

`a^2+b^2=c^2`

`a` and `b` are the legs of the triangle, and in this case, they are `4` and `36`. Now, we can substitute these numbers into the formula.

`4^2+36^2=c^2`
`16+1296=c^2`
`1312=c^2`
`sqrt1312=c`
`:.4sqrt82=c`