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.

Answer 1

Here, $ABCD$ is a parallelogram and $AC$ and $BD$ are diagonals of parallelogram intersect each other at $O.$

$OA=3cm$ and $OD=2cm$

We know that, diagonals of a parallelogram bisect each other.

$\therefore$ $AO=OC$ and $BO=OD$

$\Rightarrow$ $AC=2\times OA=2\times 3cm=6cm$

$\Rightarrow$ $BD=2\times OD=2\times 2cm=4cm$

$\therefore$ The length of the diagonals $AC$ and $BD$ are $6cm$ and $4cm.$