Question

On the coordinate plane, the segment from B(1,-4) to C(7,-4) forms one side of BCD. The triangle has an area of 15 square units. Select all of the points where D could be. (5,-4) (-9,5) (3,-9) (2,1)

Answer 1

The possible point for D is (5,-4).

Step-by-step explanation:

To find the possible points for D, we need to consider that the segment BC is a horizontal line segment with the same y-coordinate of -4. Since the area of the triangle BCD is given as 15 square units, we know that the height of the triangle, which is the y-coordinate of D, must be 15 units. Therefore, D can be at the point (5, -4).

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