Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are - Maths - Coordinate Geometry

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

Gopal Mohanty · Accepted Answer

Let the vertices of the triangle be A (0, −1), B (2, 1), C (0, 3) Let D, E, F be the mid-points of the sides of this triangle Coordinates of D, E, and F are given by

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.