USING THE CENTROID TO FIND THE LENGTH OF A SEGMENT WORKSHEET

Point P is the centroid of △LMN. Find PN and QP.

Problem 1 :

Given that QN = 9

Solution

Problem 2 :

Given that QN = 21

Solution

Problem 3 :

Given that QN = 30

Solution

Problem 4 :

Given that QN = 42

Point D is the centroid of △ABC. Find CD and CE.

Solution

Problem 5 :

Given that DE = 5, find CD and CE.

Solution

Problem 6 :

Given that DE = 11, find CD and CE.

Solution

Problem 7 :

Point G is the centroid of △ABC. BG = 6, AF = 12, and AE = 15. Find the length of the segment.

i) FC    ii)  BF    iii)  AG     iv)  GE

Point D is the centroid of △ABC. Use the given information to find the value of x.

Solution

Problem 8 :

1) BD = 4x + 5 and BF = 9x

2) GD = 2x − 8 and GC = 3x + 3

3) AD = 5x and DE = 3x − 2

4) DF = 4x − 1 and BD = 6x + 4

Solution