Triangle abc has vertices ofa(–6, 7), b(4, –1), and c(–2, –9).find the length of the median from

We know that in geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposing side. So, in a triangle there are three medians. We will find them. 

As shown in the figure below, we have the medians:

P1C
P2A
P3B

We need to find P1, P2 and P3. The midpoint of the segment (x1, y1) to (x2, y2) is:



Therefore:

For the segment AB:




For the segment BC:



For the segment CA:



We know that the distance d between two points P1(x1,y1) and P2(x2,y2) is given by the formula:



Then of each median is:

Median P1C:



Median P2A:



Median P3B: