Question

The question is below

Answer 1

`√(53)`

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 x be the third side, then

x² + 6² = (
`√(89)` )² , that is

x² + 36 = 89 ( subtract 36 from both sides )

x² = 53 ( take the square root of both sides )

x =
`√(53)` ← length of third side

Answer 2

89-6^2 = 53 so the third side is

`√(53)`