Question

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, –1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.

Answer 1

Let A (x₁, y₁) = (0, –1), B (x₂, y₂) = (2, 1), C (x₃, y₃) = (0, 3) be the vertices of ΔABC.
Now, let P, Q, R be the mid-points of BC, CA and AB, respectively.