In a triangle, the distance of the centroid from the three

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In a triangle, the distance of the centroid from the three vertices is 4 cm, 6 cm and 8 cm respectively. Then the length of the smallest median is :

1. 8
2. 7
3. 6
4. 5

Correct Option: C

On the basis of question we draw a figure of triangle ABC and the distance of the centroid from the three vertices is 4 cm, 6 cm and 8 cm respectively,

AO = 4 cm.

⇒	2	AD = 4
	3

⇒ AD =	4 × 3	= 6 cm.
	2

BO = 6 cm.

⇒ BE =	3 × 6	= 9 cm.
	2

CO = 8 cm.

⇒ CF =	8 × 3	= 12 cm.
	2