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

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Solution

Steps of Construction
Step I Draw a line segment BE = 6 cm
Step II With B as center, draw an arc BR = 5 cm and with E as a centre, draw an arc EA = 7 cm.
Step III Now, draw another arc BA = 9 cm with B as a centre, which cut-off arc AE.
Step IV Draw another arc ER = 5 cm 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 = 5 cm.

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