ab is tangent to circle o at a if ao=5 and bc=8 what is ab

Question

13
19
12
28

Answer 1

12

Since AB is tangent to circle O at point A, we know that AO is a radius of the circle, and BC is a secant line. The relationship between the length of a tangent segment and a secant segment is given by the formula:

(AB)^2 = AO * OC

Substitute the given values into the formula:

(AB)^2 = 5 * (5+8) = 5 * 13 = 65

Taking the square root of both sides:

AB = √65 ≈ 8.06

Therefore, the length of AB is approximately 8.06, which is closest to 8.