Answer :
Answer:
[tex]\sqrt{53}[/tex]
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 = ([tex]\sqrt{89}[/tex] )² , that is
x² + 36 = 89 ( subtract 36 from both sides )
x² = 53 ( take the square root of both sides )
x = [tex]\sqrt{53}[/tex] ← length of third side