Construction of a Quadrilateral When Other Special Properties Are Known
Construct a p...
Question
Question 193 Construct a parallelogram POUR in which PO = 5.5 cm, OU = 7.2 cm and ∠O=70∘.
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Solution
Since,
We have , PO = RU = 5.5 cm, OU = RP = 7.2 cm (Since the opposite sides of a parallelogram are equal)
Steps of Construction Step I Draw PO = 5.5 cm. Step II Construct ∠POX=70∘. Step III With O as centre and radius OU = 7.2 cm, draw an arc. Step IV With U as centre and radius UR = 5.5 cm, draw an arc. Step V With P as centre and radius PR = 7.2 cm, draw an arc to cut the arc drawn in Step IV. Step VI Join PR and UR. Hence, POUR is the required parallelogram.