Multiple choice

ABC is an equilateral triangle with side 12 cm and AD is the median. Find the length of GD if G is the centroid of ΔABC.

  1. 3√3 cm

  2. 6√3 cm

  3. 4√3 cm

  4. 2√3 cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In equilateral triangle, median = altitude. Using Pythagoras: AD² + BD² = AB². Since D is midpoint, BD = 6cm. So AD² + 36 = 144, giving AD = 6√3 cm. Centroid divides median in ratio 2:1, with GD being the shorter part. So GD = (1/3) × 6√3 = 2√3 cm.

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