Home
Class 10
MATHS
You have studied in Class IX, (Chapter 9...

You have studied in Class IX, (Chapter 9. Example 3), that a median of a triangle divides it into two triangles of equal areas. Verify this result for ∆ ABC whose vertices A(4, – 6), B(3, –2) and C(5, 2).

Text Solution

AI Generated Solution

To verify that the median of triangle ABC divides it into two triangles of equal areas, we will follow these steps: ### Step 1: Identify the vertices of the triangle The vertices of triangle ABC are given as: - A(4, -6) - B(3, -2) - C(5, 2) ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    NCERT ENGLISH|Exercise Exercise 7.1|10 Videos

  • CONSTRUCTIONS

    NCERT ENGLISH|Exercise EXERCISE 11.2|7 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NCERT ENGLISH|Exercise EXERCISE 8.3|7 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5).

Using integration, find the area of the triangle ABC whose vertices are A(-1,1), B(0,5) and C(3,2) .

Find the co-ordinates of the centroid of a triangle ABC whose vertices are : A(-1, 3), B(1, -1) and C(5, 1)

Find the area of a triangle whose vertices are A(3,2),B(11 ,8) and C(8,12)dot

Find the area of a triangle whose vertices are A(3,2),\ \ B(11 ,\ 8) and C(8,\ 12) .

Find the area of that triangle whose vertices are (-4,3),(-2,1)and(5,2).

Find the area of the triangle, whose vertices are (2,1), (4,5) and (6,3).

Find the lengths of the medians of a triangle whose vertices are A(-1,\ 3),\ \ B(1,\ -1) and C(5,\ 1) .

Find the angles of a triangle whose vertices are A(0,-1,-2),B(3,1,4) and C (5,7,1).

Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B (4, 5) and C (6, 3).

Home
Profile