In the fiven figure three tangents TP, TQ, and AB are respectively drawn at the points P, Q and R to a circle. The semi-perimeter of tri.TAB is equal to:?

Question

In the fiven figure three tangents TP, TQ, and AB are
respectively drawn at the points P, Q and R to a circle The
semi-perimeter of tri TAB is equal to:?

Vipin Verma · Accepted Answer

Here the tangents from a external point are equal
Hence PT = PQ , BR = PQ, AR = AQ
So ABT = AQ + QT + PT + PB + BR + AR = 2(AB +PT )
Hence semiperimeter = ABT/2 = AB + PT