Question
Construct a rhombus whose diagonals are of length $10\ cm$ and $6\ cm$.

Answer


$1.$ Draw $\text{AC}$ equal to $10\ cm$.
$2.$ Draw $\text{XY,}$ the right bisector of $\text{AC}$, meeting it at $\text{O}$.
$3.$ With $O$ as centre and radius equal to half of the length of the other diagonal, i.e. $3\ cm$, cut $\text{OB = OD} = 3\ cm$.
$4.$ Join $\text{AB, AD}$ and $\text{CB, CD}$.

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