Question

Triangle TRE has vertices T(3,6), R(-3,10), and E(-9,4). Find the coordinates of point M if line TM is a median of triangle TRE

Answer 1

The coordinate of point M = (-6,7)

Step-by-step explanation:

The Median of a triangle is a line segment from a vertex to the midpoint of the opposite side of a triangle.

Given:
`\triangle TRE` 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 =
`((-3+(-9))/(2), (10+4)/(2)) = ( (-12)/(2), (14)/(2) )=(-6,7)`

Therefore, the coordinate of point M is, (-6,7).