Answer:
YES
Explanation:
Any line that is tangent to a circle is always perpendicular to the radius of the circle, forming a right angle at the point of tangency.
Therefore, ∆BAC is a right triangle if it satisfy the pythagorean triple rule which says that c² = b² + a²
Where,
c = the hypotenuse = 30
b = 24
a = 2(9) = 18
Thus:
30² = 24² + 9²
900 = 900 (this is true)
Therefore, line AB is tangent to circle O.
The answer is YES