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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


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

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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