Respuesta :

mhanifa

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:

  • AM = 44
  • CE = 54
  • DM = 23

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

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