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easyMCQSSC CGL2026Quantitative Aptitude
1 mark

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

  1. A
    20 cm
  2. B
    10 cm
  3. C
    15 cm
  4. D
    30 cm

Solution & Step-by-step Explanation

The centroid G of a triangle divides the median (AD) in the ratio 2:1 from the vertex to the base.
Therefore, AG:GD=2:1.

Given GD=10cm, then:

AG=2×GD=2×10=20cm
Total length of median AD=AG+GD=20+10=30cm.

Practice this question

Try it yourself before checking the explanation above.

In △ABC, D is the mid-point of BC and G is the centroid. If GD = 10 cm, then the length of AD is ____________.
A
20 cm
B
10 cm
C
15 cm
D
30 cm

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GeometryTrianglesCentroid

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