Question

In the following figure, if BO = 10 cm, then the length of the diagonal BD is

• A. 14 cm
• B. 16 cm
• C. 20 cm
• D. 24 cm

Answer 1

The correct option is C

20 cm

We know that the diagonals of a parallelogram bisect each other.

So, diagonal AC bisects the diagonal BD. (Also, diagonal BD bisects the diagonal AC)

Therefore BO = OD.

Given BO = 10 cm.

Hence OD= 10 cm

Now, BD = BO + OD = 10 cm + 10 cm = 20 cm