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In triangle DEF, C is the centroid. if DM=21 find DC and CM


In triangle DEF, C is the centroid. if DM=21 find DC and CM ​-example-1

1 Answer

2 votes

Answer:

DC = 14

CM = 7

Explanation:

Here, given the centroid, we want to calculate DC and CM

An important property of the centroid point is that it divides the median in the ratio 2 to 1

so DC being the longer will take the ratio of 2 while CM will take 1

Let’s work with the ratio

DC = 2/3 * 21 = 14

CM = 1/3 * 21 = 7

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