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A(6, 1), B(8, 2) and C(9, 4) are three v...

`A(6, 1), B(8, 2) and C(9, 4)` are three vertices of parallelogram ABCD. If E is the mid-point of DC, then find the area of `DeltaADE`.

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To find the area of triangle ADE given the vertices A(6, 1), B(8, 2), and C(9, 4) of a parallelogram ABCD, we will follow these steps: ### Step 1: Find the coordinates of point D Since ABCD is a parallelogram, the diagonals bisect each other. We can find the midpoint O of diagonal AC using the midpoint formula: \[ O = \left( \frac{x_1 + x_3}{2}, \frac{y_1 + y_3}{2} \right) \] ...
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