The length of AB will be 30. Then the correct option is C.
What is a Pythagoras theorem?
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
AB is tangent to circle O.
If AO = 16 and BC = 18
Then the length of AB will be
We know that the radius and the tangent are perpendicular to each other. Then we have
OB = BC + CO
OB = 18 + 16
OB = 34
Then we have
AB² = BO² - OC²
AB² = 34² - 16²
AB² = 1156 - 256
AB² = 900
AB = 30
Then the correct option is C.
The figure is given below.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
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