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Distance of circumcentre from side|Distance of incentre from vertex| Length of median| Regular polygon

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Knowledge Check

  • If distance of centroid of triangle ABC from vertex A is 6 cm them find the length of median through point, A.

    A
    (a) 7cm
    B
    (b) 9 cm
    C
    (c) 10cm
    D
    (d) 12cm

  • The product of the distances of the incentre from the angular points of a triangleABC is

    A
    `4R^2 r`
    B
    `4R r^2`
    C
    `((abc)R)/(s)`
    D
    `((abc)r)/(s)`

  • The distance of the incentre of the triangle ABC from A is

    A
    `4Rsin(A//2)`
    B
    `4Rsin](B+C)//2]`
    C
    `4Rsin(B//2)sin(C//2)`
    D
    none of these

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