In a ΔABC, the median BE intersects AC at E. If BG = 12 cm, where G is the centroid, then BE is equal to:

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)
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  1. 16 cm
  2. 18 cm
  3. 15 cm
  4. 13 cm

Answer (Detailed Solution Below)

Option 2 : 18 cm
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Detailed Solution

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Given:

BG = 12 cm

Concept used:

The centroid divides each median into two parts, which are always in the ratio 2 :1.

Calculation:

F1 SSC Ishita 24.02.23 D6

Accoring to the concept,

BG : GE = 2 : 1

So, GE = 6 cm

Now,

BE = BG + GE

⇒ 12 + 6

⇒ 18 cm

∴ BE is equal to 18 cm.

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