Answer:
The coordinate of point M = (-6,7)
Explanation:
The Median of a triangle is a line segment from a vertex to the midpoint of the opposite side of a triangle.
Given: [tex]\triangle TRE[/tex] has vertices T(3,6) , R(-3,10) and E(-9,4).
Here, line TM is a median of triangle TRE where M is the midpoint of RE.
The midpoint of M of the line segment from R(-3,10) to E(-9,4) is;
M = [tex](\frac{-3+(-9)}{2}, \frac{10+4}{2}) = ( \frac{-12}{2}, \frac{14}{2} )=(-6,7)[/tex]
Therefore, the coordinate of point M is, (-6,7).
