16. AB is tangent to circle 0 at A. The diagram is not drawn to scale. (1 point)
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DOS) w w
A
If AO = 24 and BC = 27, what is AB?
45

AB = 45

Step-by-step explanation:

Since AB is a tangent to the circle then ∠ OAB = 90°

Using Pythagoras' identity in the right triangle.

note OB  = OC + BC = 24 + 27 = 51, thus

AB² + 24² = 51²

AB² + 576 = 2601 ( subtract 576 from both sides )

AB² = 2025 ( take the square root of both sides )

AB = = 45

-14 is the answer

hope this : ))