Multiple choice

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 ?

  1. 14 cm

  2. 28 cm

  3. 21 cm

  4. 7 cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In a triangle, the centroid divides the median in a 2:1 ratio, with the longer segment being from the vertex. AP is the distance from vertex A to the centroid P. Since the centroid divides median AD in the ratio AP:PD = 2:1, and AP = 14 cm, then PD = AP/2 = 14/2 = 7 cm.

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