A is a point at a distance of 10m from the centre O of a circle of radius 6cm. AP and AQ are the tangent to the circle at P and Q. If tangent BC is drawn at a point are lying on the minor arc PQ to intersect AP at B and AQ at C, find the perimeter of triangle ABC
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BP = BR and CR = CQ
Perimeter of ΔABC = AB + BR + RC + CA
= AB + BP + QC + CA
= AP + QA (AP = QA)
= 2AP
ΔAPO
AO²=AP²+PO²
13² = AP² + 5²
AP² = 144
AP = 12
The perimeter of the ΔABC
2 x 12 = 24 cm is the answer
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