2. Find the lengths of the medians of the triangle with vertices A (0, 0, 6), B (0,4, 0) and (6, 0, 0).
Given,
Three vertices of the triangle,A (0, 0, 6), B (0,4, 0)and C(6, 0, 0).
Now,
Let D be the midpoint of the AB, E be the midpoint of the BC and F be the midpoint of the AC.
Vertice of the D =
Vertices of E =
Vertices of the F =
Now, Medians of the triangle are CD, AE, and BF
So the lengths of the medians are:
Hence lengths of the median are .