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Drawing tangents to a circle from a point on the circle

The image of ...

Question

The image of two tangents inclined at $60^{\circ}$ drawn to a circle of radius of 4cm is given below.
By which postulate is $Δ A O P ≅ Δ C O P$ ?

A

SSS

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B

SAS

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C

ASA

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D

HL

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Solution

The correct option is A SSS
Consider the triangles $Δ A O P and Δ C O P$ ,
AO = CO( radii of the same circle)
AP= CP(tangents to a circle from an external point are of equal length)
OP is common to both triangles.
$∴$ $Δ A O P ≅ Δ C O P$ by SSS postulate.

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