Question

Construct a quadrilateral $BEAR$ in which $BE=6cm,EA=7cm,RB=RE=5cm$ and $BA=9cm$. Measure its fourth side.

Answer 1

Steps of Construction
Step I Draw a line segment $BE=6cm$
Step II With $B$ as center, draw an arc $BR=5cm$ and with $E$ as a centre, draw an arc $EA=7cm$.
Step III Now, draw another arc $BA=9cm$ with $B$ as a centre, which cut-off arc $AE$.
Step IV Draw another arc $ER=5cm$ with $E$ as a centre, which cut-off arc $BR$.
Step V Now join $BR,EA$and $AR$.
Thus, we have required quadrilateral $BEAR$.
Also, $AR=5cm$.