Distances between points

[Lyphta]

well... the problem says:

In triange XYZ, whose vertices are given, find the length of the median to side segment XY. Recall that the median to a side of a triangle is the segment joining the midpoint of the side to the opposite vertex.

X(-1,2), Y(5,8), Z(-3,-7)

 

[tkhunny]

well... the problem says:

In triange XYZ, whose vertices are given, find the length of the median to side segment XY. Recall that the median to a side of a triangle is the segment joining the midpoint of the side to the opposite vertex.

X(-1,2), Y(5,8), Z(-3,-7)

Can you find the midpoint?

Average of two points give the midpoint of the adjoining segment.
MidPoint(x,y) = [(-1+5)/2,(2+8)/2] = (2,5)

Distance Formula (Pythagorean Theorem) gives the distance.
Distance(x,midpoint(x,y)) = \(\displaystyle \sqrt{(2+3)^{2}+(5+7)^{2}}\)