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Question
Two tangents are drawn to a circle from an external point P. touching the circle at the points A and B. A third tangent intersects segment PA in C and segment PB in D and touches the circle at Q. if PA = 20 units, find the perimeter of Δ PCD.
Solution
PA = PB = 20 Units ---(1) {Length of tangents drawn from an external point to a circle are equal }
CQ = CA and DQ = DB
Perimeter of Δ PCD
= PC+ CD+ PD
= PC+ CQ + QD + PD {Using {1)}
= PA+ PB
= 2PA
= 2{20}
= 40 Units
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