Question

If it is given that coordinates of AABC are A(-2,3), B(6, 7), and C(4,1), then find the coordinates of the point D where AD is the median dropped from point A to side BC.

A) (1,2).
B) (2,5).
C) (5,4).
D) (-2,5).

Answer 1

The coordinates of point D are (5, 4).

Step-by-step explanation:

To find the coordinates of point D, we can use the midpoint formula. The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the coordinates [(x1 + x2)/2, (y1 + y2)/2].

In this case, we are given the coordinates of points A(-2, 3), B(6, 7), and C(4, 1). So the coordinates of point D, which is the midpoint of BC, will be [(6+4)/2, (7+1)/2].

Calculating the coordinates, we get D(5, 4). Therefore, the answer is (C) (5, 4).