In ΔABC, D is the mid-point of BC and G is the centroid. If GD = 10 cm, then the length of AD is ________.

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 2)
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  1. 20 cm
  2. 30 cm
  3. 15 cm
  4. 10 cm

Answer (Detailed Solution Below)

Option 2 : 30 cm
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Detailed Solution

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GIVEN:

GD = 10 cm

CONCEPT:

Centroid divides the median AD in the ratio 2 : 1

CALCULATION:

F1 Mohd.S 09-07-2020 Savita D4

Since G is the centroid of the triangle:

AD = 3 × 10 = 30 cm

The length of AD is 30 cm.

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