Point D is not the centroid of the triangle , Option D is the right answer
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The complete question is
Based on the diagram, can point D be the centroid of triangle ACF? Explain.
Yes, point D is the point of intersection of segments drawn from all three vertices.
Yes, DE is three-quarters of the length of the full segment.
No, DE should be longer than AD.
No, the ratio between AD and DE is 3:1.
The point where all the medians meet is the centroid of the triangle , the centroid divides all the median in the ratio of 2:1
If D be the centroid of the triangle , then the ratio of AD:DE should be 2:1
AD = 12
DE = 4
Therefore the ratio is 12:4 = 3:1
Therefore Option D is the right answer , and D is not the centroid of the triangle
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