in the given figure of AP and AQ are tangents and AP = 10 cm. Find the perimeter of triangle AXY​

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in the given figure of AP and AQ are tangents and AP = 10 cm. Find the perimeter of triangle AXY​

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  1. Answer:

    Join OA.

    Triangles OPA and OQA are congruent.

    ⇒∠PAO=∠QAO=45

    o

    Tangent and radius are perpendicular at the point of contact.

    ∠OPA=90

    o

    ⇒∠OAP=∠AOP=45

    o

    ⇒OP=AP=4cm

    So the radius of the circle is 4 cm.

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