Question:
From an external point P, two tangents, PA and PB are drawn to a circle with centre 0. At one point E on the circle tangent is drawn which intersects PA
and PB at C and D, respectively. If PA = 10 cm, find the perimeter of the trianlge PCD.
Solution:
Two tangents PA and PB are drawn to a circle with centre 0 from an external point P
Perimeter of $\triangle P C D=P C+C D+P D$
$=P C+C E+E D+P D$
$=P C+C A+D B+P D$
$=P A+P B$
$=2 P A=2(10)$
$=20 \mathrm{~cm}$
$[\because C E=C A, D E=D B, P A=P B$ tangents from internal point to a circle are equal]
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