Question

Geometry (100 points) im desperate T-T

Answer 1

• a) 22, b) 66, c) 36, d) 18, e) 46, f) 69

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