**Section Formula CBSE NCERT Solutions Chapter 7 Exercise 7.3 Question 5**

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

**Solution:**

We have whose vertices are given. We need to show that

ar() = ar().

**Let coordinates of point D are (x, y)**

**Using section formula to find coordinates of D, we get**

**Therefore, coordinates of point D are (4, 0)**

**Using formula to find area of triangle:**

**Area of = **

Area of

sq units

Area cannot be in negative. Therefore, we just consider its numerical value. **Therefore, area of = 3 sq units ** **(1)**

**Again using formula to find area of triangle:**

**Area of = **

Area of

sq units **(2)**

From **(1)** and **(2)**, we can say that ar() = ar()

**Hence Proved **