TWO THIRD CENTRIOD THEOREM WORKSHEET

Problem 1 :

Given that AG = 14 , FG = 10 and EB = 36, find 

i)  GD     ii)  AD   iii)  CG     iv)  CF    v)  EG  and  vi)  BG

twothirdcentheoremq1

Solution

Problem 2 :

Given that AD = 15, GE = 19 and FG = 6, find 

i)  AG     ii) GD   iii) BG     iv)  BE    v)  CF  and  vi)  CG

twothirdcentheoremq1

Solution

Problem 3 :

Given that CF = 9, GD = 2 and BG = 16, find 

i)  CG     ii) GF   iii) AG     iv)  AD    v)  GE  and  vi)  BE

twothirdcentheoremq1

Solution

Problem 4 :

Given that BE = 27, DG = 4 and CG = 10, find 

i) BG     ii) GE   iii) GA     iv)  DA    v)  CF  and  vi)  GF

twothirdcentheoremq1

Solution

Answer Key

1)  

i)  GD = 7

ii)  AD = 21

iii)  CG = 20

iv)  CF = 30

v)  EG = 12

vi)  BG = 24

2)

i)  AG = 10

ii) GD = 5

iii) BG = 38

iv) BE = 57

v)  CF = 18

vi)  CG = 12

3)  

i)  CG = 6

ii) GF = 3

iii) AG = 4

iv)  AD = 6

v)  GE = 8

vi)  BE = 24

4)  

i) BG = 18

ii) GE = 9

iii) GA = 8

iv)  DA = 12

v)  CF = 15

vi)  GF = 5

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