# The length of the diagonal BD of the parallelogram ABCD is 12 cm

The length of the diagonal BD of the parallelogram ABCD is 12 cm. P and Q are the centroids of the ΔABC and ΔADC respectively. The length (In cm) of the line segment PQ is

(a) 6

(b) 5

(c) 4

(d) 3

**Answer: (a) 6 **

**Solution:-**

According to the question look at the below diagram,

Then, length of line segment PQ = 12 x 2/4

= 6 cm

So, the length of line segment PQ is 6 cm.

Hence, the correct answer is option (a) 6.