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PQ is a chord of length …

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PQ is a chord of length 8cm of a circle of the radius 5cm.the tangents at Point P and Q intersect at Point T. Find the length TP

    • Posted by Harsha Jv 5 years, 3 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 3 months ago

    We have a circle of radius 5 cm with a chord of length 8 cm.

    We have to find length TP.

    We have,

    OP=5 cm

    PM=4 cm  .......(perpendicular from the centre divides the chord)

    OM=3 cm  .......(by using Pythagorean triplet)

    Let  and TP be x.

    Use trigonometric ratio in the triangle PMO and POT we get,

    Therefore, TP =6.66 cm

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