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.

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.

Philoid · Accepted Answer

Given: OA = 3 cm

OD = 2 cm

We know that,

Diagonals of parallelogram bisect each other.

∴ AC = 2AO

= 2 × 3 cm

= 6 cm

And,

BD = 2OD

= 2 × 2 cm

= 4 cm

Hence, AC = 6 cm and BD = 4cm

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.