AD is the median of triangle ABC. P is the centroid of triangle ABC. If AP = 14 cm, then what is the length of PD?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 7 cm.
When a median is drawn in a triangle, and G is the centroid, then G divides the median in the ratio 2 : 1.
In triangle ABC, AD is the median and P is the centroid
Then according to the concept used,
AP : PD = 2 : 1
Let the length of AP be 2x cm and the length of PD be x cm.
Now, it is given that AP = 2x = 14 cm
⇒ x = 7 cm.
Hence the length of PD = x = 7 cm.