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26-05-2022
Mathematics

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Given that l is the centroid of triangle CDE, find CH.
A. 3
B. 4
C. 8
D. 12

Given that l is the centroid of triangle CDE find CH A 3 B 4 C 8 D 12 class=

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Аноним Аноним

26-05-2022

Answer:

D. 12.

Step-by-step explanation:

As I is the centroid G is the midpoint of CE, so

2x + 5 = 5x - 4

5+4 = 5x - 2x

3x = 9

x = 3.

x + 5 = 2/3 * CH (Properties of the centroid of a triangle).

So as x = 3

2/3 CH = 3 + 5

CH = 8 * 3/2

CH = 12.

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