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Construct a parellogram whose sides is given 4.5 cm and whose diagobals are 5.6 amd 7cm​

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Final Answer:

To construct a parallelogram with sides measuring 4.5 cm and diagonals of 5.6 cm and 7 cm, the final parallelogram can be formed by drawing the sides and intersecting the diagonals appropriately.

Step-by-step explanation:

The construction of a parallelogram involves several steps. First, draw a line segment AB measuring 4.5 cm to represent one side of the parallelogram. Then, from points A and B, construct two arcs with radii 5.6 cm and 7 cm to represent the given lengths of the diagonals. These arcs intersect at points C and D, and connecting these points completes the parallelogram ABCD.

To ensure accuracy, check that the lengths of the opposite sides of the parallelogram are equal, satisfying the parallelogram's property. Additionally, verify that the diagonals intersect at their midpoints, forming right angles. This construction follows the principles of creating a parallelogram with given side lengths and diagonals, providing a geometrically sound solution.

In summary, constructing the parallelogram involves drawing the given side lengths and intersecting the diagonals at the appropriate points. This process adheres to the rules governing parallelogram constructions and ensures that the resulting figure satisfies the specified side lengths and diagonal measurements.

User Edwin Vermeer
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