Question

Construct a quadrilateral $PQRS$
Given that: $PQ=5$cm, $RS=4$cm, $PS=8$cm, $PR=10$ cm and $QS=7$ cm
Measure of the fourth side(in nearest integer).

Answer 1

$\Rightarrow$ Draw a line segment $PQ=5cm.$

$\Rightarrow$ Then with $Q$ as center and $7cm$ radius draw an arc.Then with $P$ as center and $8cm$ radius cut the previous arc at $S.$

$\Rightarrow$ Join $P$ and $S.$

$\Rightarrow$ Now with $S$ as center and $4cm$ radius draw an arc. Then with $P$ as center and $10cm$ center cut the previous arc at $R.$

$\Rightarrow$ Join $S$ to $R$ and $Q$ to $R.$

$PQRS$ is the required quadrilateral.

Measure the length of $QR$

$\Rightarrow$ We get $QR=7cm$

Measure of fourth side is $7cm$