Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA= 3 cm and OD = 2 cm, determine the lengths of AC and BD.

Explanation

Given, ABCD is a parallelogram OA = 3 cm and OD = 2 cm

We know that, diagonals of a parallelogram bisect each other.
`therefore" "` Diagonal AC = 2 OA = 6 cm `" "` [`because` AO = OC]
and `" "` Diagonal BD = 2 OD = 4 cm `" "` [`because` BO= OD]
Hence, the length of the diagonals AC and BD are 6 cm and 4 cm, respectively.