Respuesta :

Answer:

C

Step-by-step explanation:

Since CB is a tangent to the circle then ∠ ABC = 90°

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, thus

AC² = 5² + 8² = 25 + 64 = 89 ( take the square root of both sides )

AC = [tex]\sqrt{89}[/tex] → C