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The line drawn from the midpoint of one ...

The line drawn from the midpoint of one side of a triangle parallel to another side bisects the third side.

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Explore conceptually related problems

Using Theorem 6.1, prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in Class IX).

Prove using similar triangles, that a line drawn through the mid-point of one side of a triangle parallel to another side, bisects the third side.

Knowledge Check

  • The line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of it. In the given figure, the side AC of DeltaABC is produced to E such that CE = FAC. If D is the midpoint of BC and ED produced meets AB at F and CP, DQ are drawn parallel to BA, then FD=

    A
    `(1)/(2)FE`
    B
    `(1)/(3)EF`
    C
    2FE
    D
    FE

    • Similar Questions

    Explore conceptually related problems

    Theorem 8.10 : The line drawn through the mid-point of one side of a triangle, parallel to another side bisects the third side.

    The line drawn through the mid-point of one side of a triangle, parallel to another side, intersects the third side at its mid-point.

    . The line drawn through the mid-point of one side of a triangle; parallel to another side; intersects the third side at its mid-point.

    The line joining the mid-points of two sides of a triangle is parallel to the third side.

    Prove that the line segment joining the mid points of two sides of a triangle is parallel to its third side.

    Theorem 8.9 : The line segment joining the mid-points of two sides of a triangle is parallel to the third side.

    Prove that the line joining the middle points of the two sides of a triangle is parallel to the third side.

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