Question

Find the length of the third side. If necessary, write in simplest radical form.

Answer 1

√13 or 3.6

Explanation:

It is a right triangle and you have the measure of the cathets, we use the Pythagorean theorem

√(3² + 2²) =

√(9 + 4) =

√13

Answer 2

`√(13)`

Explanation:

let the 3rd side, the hypotenuse, be x

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 2² + 3² = 4 + 9 = 13 ( take square root of both sides )

x =
`√(13)`