Respuesta :

Answer:

x = sqrt(17)

Step-by-step explanation:

Angle B is 90 degrees; the line BC is a radius of circle C and line AB is a tangent line of BC. Since they must be perpendicular, angle B is 90 degrees.

Now use the pythagorean theorem to solve for x.

c=9, a = 8, b= x

a^2+b^2=c^2

8^2+x^2=9^2

x=sqrt(81-64)

x=sqrt(17)