Question : AD is the median of $\triangle$ABC. If O is the centroid and AO = 10 cm, then OD is:
Option 1: 5 cm
Option 2: 20 cm
Option 3: 10 cm
Option 4: 30 cm
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Correct Answer: 5 cm
Solution :
AD is the median of $\triangle$ABC.
O is the centroid of the circle.
The Centroid of the triangle divides the median into a 2 : 1 ratio.
⇒ $\frac{AO}{OD}=\frac{2}{1}$
⇒ $\frac{10}{OD}=\frac{2}{1}$
$\therefore OD = 5$ cm
Hence, the correct answer is 5 cm.
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