Question

If the legs of a right triangle are 3 and 6, what is the length of the hypotenuse?

Answer 1

`3\sqrt5`

Explanation:

The pythagorean theorem is
`a^2+b^2=c^2` where c is the hypotenuse.

so,
`3^2+6^2=c^2`

9 + 36 = 45

`\sqrt45=√(c^2)`

c =
`3\sqrt5`