Question 23 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards
Last updated at August 14, 2026 by Teachoo
From an external point P, two tangents, PA and PB are drawn to a circle with centre O . At a point E on the circle, a tangent is drawn to intersect PA and PB at C and D, respectively. If PA = 10 cm, find the perimeter of ∆PCD
Given PA = 10 cm
We need to find perimeter of ∆PCD
i.e. we need to find PC, PD and CD
From Point A
We know that
Tangent from external point are equal
∴ PA = PB = 10 cm
From Point C
Since Tangent from external point are equal
∴ CA = CE
From Point C
Since Tangent from external point are equal
∴ DB = DE
Now,
Perimeter of ∆PCD = PC + PD + CD
Putting CD = CE + ED
= PC + PD + (CE + ED)
Putting CE = AC, DE = DB
= PC + PD + (AC + DB)
= (PC + AC) + (PD + DB)
= PA + PB
= 10 + 10
= 20 cm
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