87.2k views
4 votes
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).

User Fido
by
8.1k points

1 Answer

5 votes

Final answer:

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).

User Akber Iqbal
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories