Question
Construct a rhombus $\text{ABCD},$ when:One side $= 5.0 \ cm$ and height $= 2.6 \ cm.$

Answer


Steps:
$1.$ Draw $AB =5 \ cm$.
$2.$ At $B$, draw $B P \perp A B$.
$3.$ From $B P$, cut $B E=2.6 \ cm =$ height.
$4.$ Through $E$ draw a perpendicular to $CP$ to get $QR$ parallel to $A B$.
With $A$ and $B$ as a centre and radii $5 \ cm$ draw arcs cutting $QR$ at $D$ and $C$.
$\text{ABCD}$ is the required rhombus.

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