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Diagonals AC and BD of a parallelogram A...

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

A

`AC=6cm, BD=2cm`

B

`AC=6cm, BD=4cm`

C

`AC=3cm, BD=4cm`

D

`AC=3cm, BD=3cm`

Text Solution

Verified by Experts

The correct Answer is:
B

The diagonals of a parallelogram bisect each other.
`therefore OA =OC = 3 cm`
`and OB =OD =2 cm.`
And so,
`AC= OA+OC=(3+3)cm=6cm`
`and BD = OB +OD =(2+2)cm =4cm.`
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