Question : In $ riangle$ABC, D is the midpoint of BC. Length AD is 27 cm. N is a point in AD such that the length of DN is 12 cm. The distance of N from the centroid of ABC is equal to:
Option 1: 3 cm
Option 2: 6 cm
Option 3: 9 cm
Option 4: 15 cm

Question

Question : In $ riangle$ABC, D is the midpoint of BC. Length AD is 27 cm. N is a point in AD such that the length of DN is 12 cm. The distance of N from the centroid of ABC is equal to:

Option 1: 3 cm

Option 2: 6 cm

Option 3: 9 cm

Option 4: 15 cm

Team Careers360 · Accepted Answer

Correct Answer: 3 cm

Solution :

AD = 27 cm
ND = 12 cm
Let O be the centroid.
AO : OD = 2 : 1
⇒ OD = $\frac{1}{3}$ AD = $\frac{1}{3}$ × 27 = 9 cm
⇒ ON = DN – OD = 12 – 9 = 3 cm
Hence, the correct answer is 3 cm.

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Question : In △ABC, D is the midpoint of BC. Length AD is 27 cm. N is a point in AD such that the length of DN is 12 cm. The distance of N from the centroid of ABC is equal to:Option 1: 3 cmOption 2: 6 cmOption 3: 9 cmOption 4: 15 cm

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Question : In $△$ ABC, D is the midpoint of BC. Length AD is 27 cm. N is a point in AD such that the length of DN is 12 cm. The distance of N from the centroid of ABC is equal to:
Option 1: 3 cm
Option 2: 6 cm
Option 3: 9 cm
Option 4: 15 cm