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 area, we will follow these steps: ### Step 1: Identify the vertices of triangle ABC The vertices of triangle ABC are given as: - A(4, –6) - B(3, –2) - C(5, 2) ...
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    NCERT|Exercise SOLVED EXAMPLES|15 Videos
  • CONSTRUCTIONS

    NCERT|Exercise EXERCISE 11.2|7 Videos
  • INTRODUCTION TO TRIGONOMETRY

    NCERT|Exercise EXERCISE 8.3|7 Videos

Similar Questions

Explore conceptually related problems

As we know studied that a median of a triangle divides it into triangles of equal areas. Verify this result for Delta ABC whose vertices are A (4,-6), B(3,-2) and C (5,2).

Find the area of Delta ABC whose vertices are A(2, 7), B(3, -1) and C(-5, 6).

Find the centroid of Delta ABC whose vertices are A(2, 2), B(-4, -4) and C(5, -8).

Find the centroid of Delta ABC whose vertices are A(-3, 0), B(5, -2), and C(-8, 5).

Find the area of triangle ABC whose vertices are A(-3, -5), B(5,2) and C(-9,-3).

What is the area of a triangle whose vertices are A(-4, -2), B(-3, -5) and C(3, -2)?

Find the lengths of the medians of a Delta ABC whose vertices are A(0, -1), B(2, 1) and C(0, 3).

Find the area of triangle ABC with vertices are A(4,2),B(3,9) and C(10,10)