faithmadden188
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  • 13-02-2022
  • Mathematics
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Find CD, given that point G is the centroid of
triangle ABC. Round your answer to the
nearest hundredth.

Find CD given that point G is the centroid of triangle ABC Round your answer to the nearest hundredth class=

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jdoe0001 jdoe0001
  • 13-02-2022

let's recall that a Centroid in a triangle cuts the Medians into a 2:1 ratio, or namely CG : GD are in a 2: 1 ratio, we can also look at it that the side CD is 2/3 of CD whilst GD is 1/3 of CD, so

[tex]CG=\cfrac{2}{3}CD\implies 17.7=\cfrac{2CD}{3}\implies 3(17.7)=2CD \\\\\\ \cfrac{3(17.7)}{2}=CD\implies 26.55=CD[/tex]

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