Applying the tangent theorem, the length of AB in the circle given is: 18 units.
What is the Tangent Ratio?
The tangent will form a right angle at the point where it meets the radius of a circle, based on the tangent theorem.
Based on the tangent theorem, triangle AOC is a right triangle. Apply the Pythagorean theorem to find AO:
AO = √(24² + 7²)
AO = 25 units.
AB = AO - BO
AB = 25 - 7
AB = 18 units.
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