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The lengths of tangents drwan from …

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The lengths of tangents drwan from an external point...to a circle are equal prove it

    • Posted by Antia Singh 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Purvanshi Yadav 6 years, 10 months ago

    Construct a circle with centre O. Draw 2 tangents namely TP and TQ which intersect each other at a point T on the circle. Also join OP and OQ which are radius of circle. Now in ∆OPT and ∆OPQ we have OP=OQ (radius of the circle) Angle P=angleQ (angle between tangent and radius is 90) By AA similarity we have; ∆OPT~∆OPQ By cpct TP=TQ Hence proved.

    1Thank You

    Lionel Messi⚽️ 6 years, 10 months ago

    By construction join the two lines from the point of the tangents drawn to the centre of the circle . Then join line at the point of contact of tangents point and prove the two triangles congruent and prove the tangents by cpct or congruent part of congruence triangle. .....

    2Thank You

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