Home
Class 10
MATHS
Using Theorem , prove that a line drawn ...

Using Theorem , prove that a line drawn thought 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).

Answer

Step by step text solution for Using Theorem , prove that a line drawn thought 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). by MATHS experts to help you in doubts & scoring excellent marks in Class 10 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    NCERT KANNAD|Exercise EXERCISE - 8.2|9 Videos

  • SIMILAR TRIANGLES

    NCERT KANNAD|Exercise EXERCISE - 8.3|6 Videos

  • SIMILAR TRIANGLES

    NCERT KANNAD|Exercise DO THIS|1 Videos

  • SETS

    NCERT KANNAD|Exercise Try This|11 Videos

  • TANGENTS AND SECANTS TO A CIRCLE

    NCERT KANNAD|Exercise Try this|3 Videos

Similar Questions

Explore conceptually related problems

Using Theorem , prove that the line joining the mid-point of any two sides of a triangle is parallel to the third side. ( Recall that you have done it is class IX) .

In a trapezium, prove that the line joining the midpoints of non - parallel sides are parallel to the parallel sides of the trapezium.

Knowledge Check

  • If D is the mid-point of side BC of a triangle ABC and AD is perpendicular to AC, then

    A
    `a^(2)+b^(2)=5c^(2)`
    B
    `3a^(2)=b^(2)-3c^(2)`
    C
    `b^(2)=a^(2)-c^(2)`
    D
    `3b^(2)=a^(2)-c^(2)`

  • The points (4,-1),(7,9) and (4,11) are the mid points of the sides of the triangle. Then the centroid is

    A
    (5,-3)
    B
    (5, 3)
    C
    `(-5, (19)/(2))`
    D
    `(5, (19)/(2))`

    • Similar Questions

    Explore conceptually related problems

    Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.

    Show tha the line segments joining the mid points of the opposite sides of a quadrilateral bisect each other.

    If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.

    Throught the mid-point M of the sides of a parallelogram ABCD, the line BM is drawn intersecting AC at L, and AD produced to E. Prove that EL = 2 BL .

    Prove that “the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides”.

    If a straight line divdes two sides of a triangle proportionally, then the straight line a parallel to third sides, (Converse of Thales theorem). Prove.

    Home
    Profile