Question

Construct a rhombus CART with CR =6cm , AT =4.8cm and write construction steps.Also find length of sides.

Answer 1

$\Rightarrow$ Draw a line segment $CR=6cm$

$\Rightarrow$ Draw a perpendicular bisector of $CR$, which meets $CR$ at point $O.$

$\Rightarrow$ Take $O$ as center with radius $2.4cm$, draw an arcs above and below on perpendicular. we get points $A$ and $T.$

$\Rightarrow$ Join $AC,AR,RT$ and $CT$

$\Rightarrow$ Measure length of $CA$.

$\Rightarrow$ We get $CA=3.8cm$

We know that in rhombus all four sides are equal.

$\therefore$ The length of sides of rhombus is $3.8cm$