Question

Here are some more questions I'm having trouble with. Please walk me through them so I can fully understand them.

#2: Let A be (5,9), B be (-3,-5), and C be (1,1). The median of a triangle connects a vertex of a triangle to the midpoint of the opposite side. *Another note: would you be able to explain the median of a triangle more fully? I don't get what my teacher meant by the midpoint on the other side* For example, the median of triangle ABC from vertex A connects A to the midpoint of line segment BC (I still don't understand it).

a. Find an equation describing the line that contains the median from A to the midpoint of line segment BC.
b. Find an equation describing the line that contains the median from B to the midpointof line segment AC.
c. What point (x,y) is on both of the lines you found in parts a and b (I might be able to figure this out if you explain a and b well).
d. Find an equation describing the line that contains the median A to the midpoint of line segment AB.

Please explain this very thoroughly so I can understand it. I am only in 7th grade algebra so there are a lot of terms I still don't understand.

Thank you so much!