Construction of a Quadrilateral When Other Special Properties Are Known
Construct a p...
Question
Question 195 Construct a parallelogram HOME with HO = 6 cm, HE = 4 cm and OE = 3 cm.
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Solution
Steps of Construction Step I Draw HO = 6 cm. Step II With H as centre and radius HE = 4 cm, draw an arc. Step III With O as centre and radius OE = 3 cm, draw an arc intersecting the arc drawn in step II at E. Step IV With E as centre and radius EM = 6 cm, draw an arc opposite to the side HE. Step V With O as center and radius OM = 4 cm, draw an arc, intersecting the arc drawn in step IV at M. Step VI Join HE, OE, EM and OM. Hence, HOME is the required parallelogram.