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…

CBSE Class 10 Maths PYQ · Circles · Triangle & Circle · 3 Marks · March 2024 · Standard

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963 Marks · March 2024 · Standard

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 which intersects PA and PB at C and D respectively. If PA = $10$ cm, find the perimeter of $\triangle PCD$.

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Perimeter of $$\begin{aligned}& \triangle PCD = PC + CD + DP \\ & = PC + CE + ED + DP \\ & = PC + CA + DB + DP \\ & = PA + PB \\ & = PA + PA \\ & = 2 PA \\ & = 2 \times 10 = 20\end{aligned}$$ cm