Question : In $\Delta$ABC, D is the mid-point of BC and G is the centroid. If GD = 5 cm then the length of AD is:
Option 1: 10 cm
Option 2: 12 cm
Option 3: 15 cm
Option 4: 20 cm
Answer (1)
17th Jan, 2024
Correct Answer: 15 cm
Solution :
In a triangle, the centroid divides the median into two segments in the ratio of 2 : 1.
Given that GD = 5 cm.
⇒ AG : GD = 2 : 1
⇒ AG = 2GD = 2 × 5 cm = 10 cm
⇒ AD = AG + GD = 10 cm + 5 cm = 15 cm
Hence, the correct answer is 15 cm.
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