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Question
Question 200
Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.
Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.
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Solution
Steps of Construction
Step I Draw AB = 4 cm.
Step II With A as centre and radius 2.8 cm, draw an arc.
Step III With B as centre and radius 3.5 cm, draw another arc, cutting the previous arc at O.
Step IV Join OA and OB.
Step V Produce AO to C such that OC = AO and produce BO to D such that OD = BD.
Step VI Join AD, BC and CD.
Thus, ABCD is the required parallelogram.
and other side = 5 cm.
Steps of Construction
Step I Draw AB = 4 cm.
Step II With A as centre and radius 2.8 cm, draw an arc.
Step III With B as centre and radius 3.5 cm, draw another arc, cutting the previous arc at O.
Step IV Join OA and OB.
Step V Produce AO to C such that OC = AO and produce BO to D such that OD = BD.
Step VI Join AD, BC and CD.
Thus, ABCD is the required parallelogram.
and other side = 5 cm.
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