Question

The points A(x₁, y₁)_, B(x₂, y₂) and C(x₃, y₃) are the vertices of ∆ABC. The median from A meets BC at D. Find the coordinates of the point D.

Answer 1

According to the question,

The vertices of ΔABC = A, B and C

Coordinates of A, B and C = A(x₁, y₁), B(x₂, y₂), C(x₃, y₃)

As per given information D is the mid-point of BC and it bisect the line into two equal parts.

Coordinates of the mid-point of BC;

BC = `((x_2 + x_3)/2, (y_2 + y_3)/2)`

⇒ D = `((x_2 + x_3)/2, (y_2 + y_3)/2)`