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Please explain which answer is correct and why. Thank you!

Please explain which answer is correct and why. Thank you!-example-1
User Jncraton
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1 Answer

6 votes

Answer: Choice 1

3(MC) = SC

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Step-by-step explanation:

The three medians intersect at the centroid, which is point M in this case. The intersecting medians subdivide themselves in the ratio 2:1

This means that SM is twice as long as MC. We can say SM = 2MC

Then by the segment addition postulate, we know that:

SC = SM + MC

SC = 2MC + MC

SC = 3MC

3(MC) = SC

So having three copies of MC glued together will form segment SC.

The same idea applies for the other medians also (EK = 3EM and RL = 3ML).

User Eluxen
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