Question

Construct a rhombus $NICE$ with $NI=4cm$ and $IE=5.6cm$

Answer 1

In rhombus $NICE$,

$NI=IC=CE=EN=4$ cm [All sides of a rhombus are equal.]

And, $IE=5.6$ cm

Steps for construction:

Step 1. Draw a line segment $NI=4$ cm.

Step 2. With $N$ as centre and radius $=4$ cm, draw an arc.

Step 3. With $I$ as centre and radius $=5$ cm, draw an arc to cut the arc in the previous step at point $E$

Step 4. Join $NE$ and $IE$

Step 5. With $I$ as centre and radius $=4$ cm, draw an arc.

Step 3. With $E$ as centre and radius $=4$ cm, draw an arc to cut the arc in the previous step at point $C$

Step 4. Join $IC$ and $CE$

Hence, required rhombus $NICE$ is constructed.