Question

Construct a rhombus $ABCD,$ with $AC=6cm$ and $BD=4.6cm.$

Answer 1

In the rhombus, diagonals bisect each other perpendicularly.

Steps of construction :

1. Draw a line segment $AC$ of length $6cm.$

2. Draw a perpendicular bisector for $AC.$ Let the point of intersection be $O.$

3. With $O$ as the center, draw two arcs of radius $2.3cm$ on either side of $AC.$

$[BD=4.6cm\Rightarrow OB=OD=2.3cm]$

4. Name them as $D$ and $B.$ Join $AD,CD,AB$ and $CB$ to complete the rhombus $ABCD.$

5. $ABCD$ is the required rhombus.