Multiple choice

The distance from vertices of centroid of circle is 8 cm., 4 cm. and 6 cm. then length of the median are -

  1. 12 cm., 6 cm., 9 cm.

  2. 6 cm., 9 cm., 12 cm.

  3. 18 cm., 12 cm., 24 cm.

  4. 22 cm., 12 cm., 18 cm.
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A Correct answer
Explanation

The centroid of a triangle divides each median in a 2:1 ratio, where the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint of the opposite side. Therefore, the full median length is 3/2 times the distance from the vertex to the centroid. For distances 8, 4, and 6 cm, the medians are (3/2)×8=12 cm, (3/2)×4=6 cm, and (3/2)×6=9 cm respectively.

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