Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

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 ?

Options:

14 cm

28 cm

21 cm

7 cm

Correct Answer:

7 cm

Explanation:

We know that,

The centroid of the triangle divides each of its median in the ratio 2:1.

AP = 14 cm

\(\frac{AP}{PD}\) = \(\frac{1}{2}\) 

\(\frac{14}{PD}\) = \(\frac{1}{2}\) 

PD = \(\frac{14}{2}\) = 7cm