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Centroid divides each median in ratio 2:...

Centroid divides each median in ratio 2:1.

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State Apollonius Theorem and Centroid divides median in the ratio 2:1?

A point taken on each median of a triangle divides the median in the ratio 1:3 reckoning from the vertex.Then the ratio of the area of the triangle with vertices at these points to that of the original triangle is:

Knowledge Check

  • A point taken on each median of a triangle divides the median in the ratio 1 : 3, reckoning from the vertex. Then the ratio of the area of the triangle with vertices at these points to that of the original triangle is

    A
    `5:13`
    B
    `25:64`
    C
    `13:32`
    D
    none of these

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    Centroid divides the median from the vertex in the ratio_____

    Discussion OF Ex-10.4||Theorem :- In any triangle centroid Divide the Median in 2:1|| Inequilateral triangle side is equal to root3 times OF radius

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