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Question
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.
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Solution
Given, ABCD is a parallelogram OA = 3 cm and OD = 2 cm
We know that, diagonals of a parallelogram bisect each other.
∴ Diagonal AC = 2OA = 6 cm ...[∵ AO = OC]
And Diagonal BD = 2OD = 4 cm ...[∵ BO = OD]
Hence, the length of the diagonals AC and BD are 6 cm and 4 cm, respectively.
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