Question

the question is below

Answer 1

Answer:

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

$\sqrt{53}$

Answer 2

Answer:

$\sqrt{53}$

Step-by-step 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 = ($\sqrt{89}$ )² , that is

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

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

x = $\sqrt{53}$ ← length of third side