Find the area of \Delta ABC with A(1, -4) and midpoints of sides t | Filo
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Coordinate Geometry

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Find the area of with and midpoints of sides through A being and .

Solution:
Given: A with
Let F and E are the midpoints of AB and AC respectively
Let Coordinates of F are and Coordinates of E are
Let Coordinates of B be and Coordinates of C be
Find coordinate of B:
using section formula:
Coordinate of B are
Find coordinate of C:
using section formula:
Coordinate of C are
Now,
Area of
Area of triangle ABC:
sq. units.
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