Question

In a parallelogram $ABCD$, diagonals $AC$ and $BD$ intersect each other at point $O$. If $AO=3cm$ and $DO=5cm$, find the length of diagonals.

Answer 1

Given:- $ABCD$ is a parallelogram. $AO=3cm$ and $DO=5cm$

To find:- $AC=?BD=?$

Sol:-

As we know that diagonals of a parallelogram bisect each other.

Therefore,

$AC=2\times AO=2\times 3=6cm(\because AO=OC)$

$BD=2\times DO=2\times 5=10cm(\because DO=OB)$

Hence the length of diagonals $AC$ and $BD$ are $6cm$ and $10cm$ respectively.