Question

Construct a rhombus $ABCD$ of side $4.6cm$ and $\angle BCD={135}^o$, by using ruler and compasses only.

Answer 1

Steps of construction:
(i) Draw a line segment $BC=4.6cm$
(ii) At $C$, draw a ray $CX$ making an angle of ${135}^o$ and cut off $CD=4.6cm$
(iii) With centres $B$ and $D$, and radius $4.6cm$ draw arcs intersecting each other at $A$.
(iv) Join $BA$ and $DA$
Thus, $ABCD$ is the required rhombus.