Respuesta :
The length of the segment EK from the triangle DFE is 100 units. Option C is correct.
Find the sketch of the diagram attached. From the diagram, we can see that the lines intersect to form a point K known as the centroid.
From the figure, the following expression is true;
EK : KJ = 2:1
[tex]\frac{EK}{KJ} = \frac{2}{1}\\EK = 2KJ[/tex]
Given the following parameter
KJ = 50 units
Substitute into the expression above to have:
EK = 2(50)
EK = 100 units
Hence the length of the segment EK from the triangle DFE is 100 units
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