Question

Construct a parallelogram where two diagonals are of length 6cm and 4.6 cm and the included angle between them is 60°.

Answer 1

Answer:

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Answer 2

Construction of a parallelogram

Explanation:

Given: Parallelogram ABCD with diagonals of length 6cm and 4.6cm and the included angle between them is 60°.

Construction:

1. Let AC and BD be the diagonals and O be the point of their intersection.
2. Draw a line segment AC = 6 cm.
3. Mark the midpoint of AC at 3cm and name it O.
4. At O, mark an angle of 60° and extend the arm of the angle on both sides of the line AC.
5. With O as centre and half of BD (4.6 / 2 = 2.3 cm) as radius, draw two arcs cutting the arm of the angle on eithe side of AC.
6. Mark the points as B and D.
7. Join AB, BC, CD and DA.
8. ABCD is the required parallelogram.