Question

In a parallelogram $ABCD$, its diagonals $AC$ and $BD$ intersect each other at point $O$.​ If $AC=12cm$ and $BD=9cm$; find lengths of $OA$ and $OD.$​

Answer 1

Diagonals of a parallelogram bisect each other .
Hence,


$OA=\frac{1}{2}AC$ and ~$OD=\frac{1}{2}BD$
It is given that $AC=12cm$ and $BD=9cm$ SO, $OA=\frac{1}{2}AC=\frac{1}{2}\times 12=6cm$
And ,
$OD=\frac{1}{2}BD=\frac{1}{2}\times 9=4.5cm$
Thewrefore, length of $OA$ and $OD$ is $6cm\text{and}4.5cm$ respectively.