Home
Class 10
MATHS
A(7, -3), B(5, 3) and C(3, -1) are the v...

A(7, -3), B(5, 3) and C(3, -1) are the vertices of a `Delta ABC` and AD is its median. Prove that the median AD divides `Delta ABC` into two triangles of equal areas.

Answer

Step by step text solution for A(7, -3), B(5, 3) and C(3, -1) are the vertices of a Delta ABC and AD is its median. Prove that the median AD divides Delta ABC into two triangles of equal areas. 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

  • COORDINATE GEOMETRY

    RS AGGARWAL|Exercise Exercise 6D|17 Videos

  • COORDINATE GEOMETRY

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|34 Videos

  • COORDINATE GEOMETRY

    RS AGGARWAL|Exercise Exercise 6B|38 Videos

  • CONSTRUCTIONS

    RS AGGARWAL|Exercise Test Yourself|10 Videos

  • HEIGHTS AND DISTANCES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|25 Videos

Similar Questions

Explore conceptually related problems

If A (4, 2), B (7, 6) and C (1, 4) are the vertices of a DeltaABC and AD is its median, prove that the median AD divides DeltaABC into two triangles of equal areas.

If A(4,-6),B(3,-2)and C(5,2) are the vertices of a DeltaABC and AD is its median, prove that the median AD divides DeltaABC into two triangles of equal areas.

Knowledge Check

  • If A(4, 2), B(6, 5) and C(1, 4) be the vertices of Delta ABC and AD is a median, then the coordinates of D are

    A
    `((5)/(2), 3)`
    B
    `(5, (7)/(2))`
    C
    `((7)/(2), (9)/(2))`
    D
    none of these

  • If A (1,-2), B (-2,3) and C(2,-5) are the vertices of Delta ABC, then the equation of the median BE is

    A
    7x+13y+47=0
    B
    13x+7y+5=0
    C
    7x-13y+5=0
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    Show that a median of a triangle divides it into two triangles of equal area.

    If A(4,-6),B(3,-2) and C(5,2) are the vertices of $ABC, then verify the fact that a median of a triangle ABC divides it into two triangles of equal areas.

    A(5, 4), B(-3, -2) and C(1,-8) are the vertices of a triangle ABC. Find the equation of median AD

    If A(-1, 6), B(-3, -9) and C(5, -8) are the vertices of a triangle ABC , find the equations of its medians.

    If A (1,2) , B(-2, 3) and C(-3,-4) be the vertices of DeltaABC . Verify that median BE divides it into two triangles of equal areas.

    If A(-1,3),B(1,-1) and C(5,1) are the vertices of a triangle ABC, what is the length of the median through vertex A ?

    Home
    Profile