Find the equation

Given: The vertices of triangle ABC are A (-1, -2), B(0, 1) and C(2, 0).

Concept Used:

The equation of the line passing through the two points ( x₁, y₁) and ( x₂, y₂)

To find:

Equation of side BC of triangle ABC.

The equation of median through A.

Explanation:

So, the equation of BC is

Formula used:

⇒

⇒ x + 2y – 2 = 0

Let D be the midpoint of median AD is

So,

So, the equation of the median AD is

Formula used:

⇒ 4y + 8 = 5x + 5

⇒ 5x – 4y – 3 = 0

The equation of line BC is x + 2y – 2 = 0

Hence, the equation of median is 5x – 4y – 3 = 0