Question 192
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.