. Find the area of the triangle formed by joining the mid-points of the sides of the

trianglewhose vertices are (0, –1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle

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Solution: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

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