Construct a parallelogram having two diagonals of length 6.4 cm and 5 cm and one of the sides is 5.1 cm.
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Construction of a parallelogram
Explanation:
Let AC and BD are the diagonal of the parallelogram which intersects each other at point O.
So, AO = OC = AC/2 = 6.4/2 = 3.2 cm
And BO = OD = BD/2 = 5/2 = 2.5 cm
Construction:
- Draw a line segment BC of length 5.1 cm
- Now, take B as center and draw an arc length of 3.2 cm
- Again, take C as center and draw an arc length of 2.5 cm which intersect the previous arc at point O
- Now, join O to B and C.
- Extend BO to D such that BD = 5 cm
- Extend CO to A such that AC = 6.4 cm
- Finally, join AB, AD and CD.
ABCD is the required parallelogram.
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