given triangle PQR with vertices P(0,-8), Q(4,-9) and R(-2,-3), find the length of the midsegment connecting the midpoint of PQ to the midpoint of PR.

Answer 1

Calculate the coordinates of the midpoints as the mean values of the vertex endpoints.

The midpoint of PQ is (2,-8.5)
The midpoint of PR is (-1,-5.5)

The distance between those points is
sqrt(3^2 + 3^2) = sqrt18 = 4.24