Determine if line AB is tangent to the circle. Please help!!

Answer:
B. Tangent
Step-by-step explanation:
Tangent always makes 90 degree angle with the radius. Now in triangle let's see if it's right angled triangle or not.
To confirm if it's a right angled triangle it should follow Pythagoras Theorem.
Which states square of hypotenuse = sum of squares of other two legs
[tex]12 {}^{2} + 16 {}^{2} = 20 { }^{2} \\ 144 + 256 = 400 \\ 400 = 400[/tex]
it proves that it's a right angled triangle. Hence AB is a tangent to circle.