Mathematics
In the figure (ii) given below, from an external point P, tangents PA and PB are drawn to a circle. CE is a tangent to the circle at D. If AP = 15 cm, find the perimeter of the triangle PEC.
Circles
ICSE
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Answer
From P, PA and PB are the tangents to the circle.
∴ PA = PB = 15 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From E, EA and ED are the tangents to the circle.
∴ EA = ED (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From C, BC and CD are the tangents to the circle.
∴ BC = CD (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
Now perimeter of triangle PEC,
Hence, perimeter of triangle PEC = 30 cm.
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