SOLUTION: 3. The coordinates of vertex A of the triangle ABC are (7, -4). If the coordinates of the centroid of the triangle are (1, 2), find the coordinates of the midpoint of the side BC

Question 1185395: 3. The coordinates of vertex A of the triangle ABC are (7, -4). If the coordinates of the centroid of the triangle are (1, 2), find the coordinates of the midpoint of the side BC
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

A(7,-4)
B(a,b)
C(c,d)

The coordinates of the centroid are the averages of the coordinates of the three vertices:

The coordinates of the midpoint (m,n) of BC are the averages of the coordinates of B and C:

ANSWER: the midpoint of BC is (m,n)=(-2,5)

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