Social Sciences, asked by luckexplosion8805, 11 months ago

Construct a parallelogram having two diagonals of length 6.4 cm and 5 cm and one of the sides is 5.1 cm.

Answers

Answered by rajnandinisaha2
0

Answer:

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Answered by topwriters
1

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:

  1. Draw a line segment BC of length 5.1 cm
  2. Now, take B as center and draw an arc length of 3.2 cm
  3. Again, take C as center and draw an arc length of 2.5 cm which intersect the previous arc at point O
  4. Now, join O to B and C.
  5. Extend BO to D such that BD = 5 cm
  6. Extend CO to A such that AC = 6.4 cm
  7. Finally, join AB, AD and CD.

ABCD is the required parallelogram.

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