Diagonals $A C$ and $B D$ of a parallelogram $A B C D$ intersect each other at $O$ .
If $O A = 3 c m$ and $O D = 2 c m$ , determine the lengths of $A C$ and $B D$ .

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Solution

STEP 1 : Given
$A C$ and $B D$ are the diagonals of a parallelogram $A B C D$ .
$O A = 3 c m$
$O D = 2 c m$
STEP 2 : Finding the lengths of diagonals $A C$ and $B D$ .
We know that diagonals $A C$ and $B D$ bisect each other at $O$ , therefore
$A C = 2 \times O A = 2 \times 3 c m$
$A C = 6 c m$ , and
$B D = 2 \times O D = 2 \times 2 c m$
$B D = 4 c m$
Hence, the lengths of $A C$ and $B D$ are $6 c m$ and $4 c m$ respectively.

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In a parallelogram ABCD, its diagonals AC and BD intersect each other at point O.
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