Answer :

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:

  • 7 - 3 = 4 units

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:

  • 5 - 2 = 3 units

Using the area formula A = (Base x Height) / 2, we have:

  • A = (4 x 3) / 2 = 6 square units