6 square units
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Use the formula for the area that involves the base and height of the triangle.
Since vertices A and C both have a y-coordinate of 2, we can consider AC as the base and calculate its length.
The length of the base AC is the difference between the x-coordinates of A and C, which is:
The height can be found by looking at the y-coordinate of vertex B since B lies directly above AC on the y-axis.
The height is the difference between the y-coordinates of B and A (or C), which is:
Using the area formula A = (Base x Height) / 2, we have: