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If a line through one vertex of a triang...

If a line through one vertex of a triangle divides the opposite sides in the Ratio of other two sides; then the line bisects the angle at the vertex.

Answer

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Knowledge Check

  • Read the statemenst carefully and state 'T' for true and 'F' for false . 1. If a line divides any two sides of a triangle in the same ratio , then the line is parallel to the third side of the triangle . 2 . The internal bisector of an angle of a triangle divides the opposite side inernally in the ratio of the sides containing the angle . 3 . If a line through one vertex of a triangle divides the opposite in the ratio of other two sides , then the line bisects the angle at the vertex . 4.Any line parallel to the parallel sides dividesproportionally . 5. Two times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians of the triangle .

    A
    `{:(1,2,3,4,5),(T,T,T,T,T):}`
    B
    `{:(1,2,3,4,5),(T,T,T,T,F):}`
    C
    `{:(1,2,3,4,5),(F,T,F,T,F):}`
    D
    `{:(1,2,3,4,5),(T,T,F,T,F):}`

  • If angle bisector of a triangle bisect the opposite side, then what type of triangle is it?

    A
    Right angled
    B
    Scalene
    C
    Similar
    D
    Isosceles

  • Through each vertex of a triangle, a line parallel to the opposite side is drawn. The ratio of the perimeter of the new triangle, thus formed, with that of the original triangle is

    A
    `3:2`
    B
    `4:1`
    C
    `2:1`
    D
    `2:3`

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