Question

Construct parallelogram $ABCD$ with the following measurements:
$AD=4.2cm$, $DC=5.8cm$, $AC=3.4cm$

Answer 1

Steps of construction:

1. Draw $AD=4.2$ cm

2.With $A$ as center and $3.4$ cm as radius draw an arc.

3.With $D$ as center and $5.8$ cm as radius draw another arc to intersect the above arc

4.Join $AC$ and $DC$.

5.With $A$ as center and $5.8$ cm radius draw an arc.

6.With $C$ as center and $4.2$ cm as radius draw another arc to intersect the above at $B$.

7.Join $AB$ and $CB$.

Hence, $ABCD$ is the required parallelogram: