The centroid of a triangle divides the triangle into the following ratio 1 : 2
The length of JN is either (c) 8 or (d) 2
Represent JN and KN using the following equivalent ratios
JN : KN = 1 : 2
Substitute 4 for KN
JN : 4 = 1 : 2
Multiply ratio 1 : 2 by 2
JN : 4 = 2 : 4
By comparison:
JN = 2
Because the image of the triangle is not given, the following solution is also possible
Represent JN and KN using the following equivalent ratios
KN : JN = 1 : 2
Substitute 4 for KN
4 : JN = 1 : 2
Multiply ratio 1 : 2 by 4
4 : JN = 4 : 8
By comparison:
JN = 8
Hence, the length of JN is either (c) 8 or (d) 2
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