Question

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

Answer 1

third side = 6

Explanation:

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.

let the third side be x , then

x² + 4² = (2
`√(13)` )²

x² + 16 = 52 ( subtract 16 from both sides )

x² = 36 ( take square root of both sides )

x =
`√(36)` = 6