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Sagot :
Answer:
DG = 26
GE = 26
DF = 15
CH = 14
CE = 28
Step-by-step explanation:
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IF If J is the centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts.
The following expressions are therefore true
DG + GE = DE and DG = GE
Substituting
DG + DG = DE
2DG = DE
Given DE - 52
2DG = 52
DG = 52/2
DG = 26
Since DG = GE, hence GE = 26
Also DF + FC = DC and DF = FC
Since FC = 15, hence DF = 15
Also CH + HE = CE and CH = HE
Since HE = 14, hence CH = 14
CE = 14+14
CE = 28
DG = 26, GE = 26, DF = 15, CH = 14, CE = 28
IF If J is the centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts
Therefore,
DG + GE = DE ....(1)
DG = GE ...(2)
Substituting (2) in (1) ,we get
DG + DG = DE
2DG = DE
Also, DE = 52 (Given)
So, 2DG = 52
DG = 26
As, DG = GE,
Therefore, GE = 26
Also, DF + FC = DC and DF = FC
As, FC = 15,
So, DF = 15
Also CH + HE = CE and CH = HE
Since HE = 14,
So, CH = 14
CE = 14+14=28
So, CE = 28
Therefore, DG = 26 , GE = 26, DF = 15, CH = 14, CE = 28
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