Mathematics

Mathematics

Problem

In a circle with center OO, tangents from an external point TT touch the circle at points PP and QQ. If the length of the chord PQPQ is 24 cm24\,\text{cm} and the distance from the center OO to the chord PQPQ is 5 cm5\,\text{cm}, find the length of the tangent TPTP.

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