Analytical Geometry Question

Question

Determine an equation AND length for the median from vertex C for the triangle with vertices:

C(5, 2) | A(‐3, 3) | B(2, ‐5)

Answer 1

First determine the midpoint of the segment AB...the co-ordinates of the midpoint are the average of the co-ordinates of AB.

Then use the 2 point form to get the equation of the median to point C.

Midpoint:[(-3+2)/2, (3-5)/2]