Question

Two segments from P are tangent to circle O. If m angle P=60 and the radius of circle is 12 feet , find the length of each tangent ( They should be the same )

Answer 1

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Answer:

12√3 feet

Explanation:

The tangent, a radius to it, and segment PO form a 30-60-90 right triangle with short leg 12 feet. The ratios of side lengths in such a triangle are 1 : √3 : 2. That means the length of the tangent (the other leg) is 12√3 feet.