Question

Construct a rhombus whose diagonals are $47cm$ and $54cm$.

Answer 1

A rhombus has diagonals perpendicular to each other.1. Draw $AC=47cm$

2. Draw perpendicular bisector XY of AC intersecting AC at O.
3. Taking O as centre and $\frac{1}{2}\times 54=27cm$ as radius
draw two arcs intersecting OX and OY at B and D respectively.
4. Join AB, BC, CD and AD.
ABCD is the required rhombus.