Question
Construct a square $\text{ABCD}$ with $AC = 6.5\ cm$

Answer

Image
The diagonals of a square are equal and bisect each other.
Steps of Construction:
$1)$ Draw $A C=6.5 \ cm$
$2)$ Draw perpendicular bisector to $A C$ which cuts $A C$ at $O$.
$3)$From this perpendicular cut $O D$ and $O B$ such that
$OD = OB =\frac{1}{2} BD =\frac{1}{2} \times 6.5 \ cm =3.25 \ cm$
$4)$ Join $A B, B C, C D$ and $A D$
$5)\text{ABCD}$ is the required square.

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