Answer:
- a) 22, b) 66, c) 36, d) 18, e) 46, f) 69
Step-by-step explanation:
Use the property of centroid:
- The centroid is the intersection of medians
- For each median, the distance from a vertex to the centroid is twice that of the distance from the centroid to the midpoint of the side opposite that vertex
Given dimensions:
Find the following:
- a) FM = 1/2*AM = 1/2*44 = 22
- b) A.F = AM + FM = 44 + 22 = 66
- c) CM = 2/3*CE = 2/3*54 = 36
- d) ME = 1/3*CE = 1/3*54 = 18
- e) MB = 2*DM = 2*23 = 46
- f) DB = DM + MB = 23 + 46 = 69
