Question

In the below figure, ABCD is a parallelogram with AC and BD as diagonals, intersecting each other at O. If BD = 6 cm, then BO = _______.

• A. 4 cm
• B. 3 cm
• C. 2 cm
• D. 1.5 cm

Answer 1

The correct option is B 3 cm


Given, ABCD is a parallelogram and the diagonals AC and BD intersect at O, and BD = 6 cm.

Since, diagonals of a parallelogram bisect each other,
AO = OC
BO = OD

⇒ BD = BO + OD
⇒ BD = 2BO
⇒ BO = $\frac{6}{2}$ = 3 cm