Thus, the area of DABC is

Note:

As the area cannot be negative, we have taken absolute value. Let us try some examples.

So the area of the triangle is 24 square units.

Example-19.

Find the area of a triangle formed by the points A(5, 2), B(4, 7) and C(7, -4).

Solution :

The area of the triangle formed by the vertices A(5, 2), B(4, 7) and C(7, -4) is given by

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