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Segments CD, AE, and BF are medians of triangle ABC. What is the value of x?

A. x = 3.7
B. x = 4.75
C. x = 5.8
D. x = 8

Segments CD, AE, and BF are medians of triangle ABC. What is the value of x? A. x-example-1

1 Answer

1 vote

Explanation:

The centroid divides the length of each median in 2:1 ratio.

The length of the part between the vertex and the centroid is twice the length between the centroid and the mid-point of the opposite side.

When CD is the median, C is the vertex and D is the midpoint of AE.

CG = 2 × DG

6.5= 2(3x- 11)

6.5 = 6x -22

6x= 6.5+22

6x= 28.5

x= 28.5/6

x= 4.75

optionB