Question
Construct a rhombus $\text{ABCD}$, when:One side $= 5.4 \ cm$ and one diagonal is $7.0 \ cm.$

Answer


Steps:
$1.$ We construct the segment $A C=7\ cm$.
$2.$ With $A$ as a centre and radius $5.4 \ cm$, we draw an arc extending on both sides of $A C$.
$3.$ With $C$ as a centre and same radius as in step 2,
we draw an arc extending on both sides of $A C$ to cut the first arc at $B$ and $D$.
$4$. Join $\text{AB, BC, CD}$ and $D A$.
$\text{ABCD}$ is the required rhombus.

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