Applying the tangent theorem and the Pythagorean theorem, the length of AB is: 70 units.
What is the Tangent Theorem?
According to the tangent theorem, a tangent will form a right angle with the radius of a circle at the point of tangency.
Triangle ABO is therefore a right triangle.
AO = CO = 24 units
BO = BC + CO = 50 + 24
BO = 74 units
Use Pythagorean theorem to find line AB:
AB = √(BO² - AO²)
AB = √(74² - 24²)
AB = 70 units.
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