Find the area of the triangle whose vertices are (2, 3), (-1, 0), (2, -4).

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11 square units

10.5 square units

8 square units

7 square units

answer is B.

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Detailed Solution

Given that coordinates of the triangle are (2, 3), (-1, 0), (2, -4).
Let (x1, y1) = (2, 3)
(x2 , y2) = (-1, 0)
(x3 , y3) = (2, -4)
The formula to calculate area is given by,
Question Image

Hence, the area of the triangle is 10.5 square units.
Therefore, the correct answer is option (2).

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