Multiple choice

In a traingle $ABD$, $E,F,G$ are mid points of sides $AB, BD, DA$ respectively. $C$ represents the centroid of the triangle. If $BC =9, CG=2x+1$, Find $x$,

  1. $1.75$
  2. $2.75$
  3. $1.25$
  4. $2.25$
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A Correct answer
Explanation

The centroid divides each median in the ratio 2:1, measured from the vertex. Thus, on median BC, BC:CG = 2:1, so CG = 9/2 = 4.5. Therefore, 2x + 1 = 4.5, giving x = 1.75.

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