From an external point p tangents pa and pb

Asked by admin @ 12/08/2021 in Math viewed by 268 People

From an external point p tangents pa and pb are drawn to a circle with centre o . if cd is the tangent to the circle at a point e and pa =12 cm find the perimeter of triangle pcd

Answered by admin @ 12/08/2021

★ CIRCLES ★

Given : PA and PB are tangent to the circle
with centre O.

CD is a tangent to the circle at E which intersects PA and PB in C and D
respectively and PA = 12 cm.

Lengths of
tangents drawn from as external point to a circle are equal.

∴ PA = PB = 12 cm

CA = CE

DB = DE

Now
perimeter of ΔPCD = PC + CD + PD

= PC + (CE
+ ED) + PD

= PC + (CA
+ DB) + PD

= (PC +
CA) + (DB + PD)

= PA + PB

= 12 cm +
12 cm

= 24 cm.

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