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Find the area of the triangle formed 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.

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To find the area of the triangle formed by joining the midpoints of the sides of triangle ABC with vertices A(0, -1), B(2, 1), and C(0, 3), and to find the ratio of this area to the area of triangle ABC, we will follow these steps: ### Step 1: Find the midpoints of the sides of triangle ABC The midpoints of the sides can be calculated using the midpoint formula: \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] ...
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