Question

Construct a quadrilateral ABCD with three sides AB = 6.5 cm, AD = 5.5, and BC = 4.2 cm, and two
diagonals AC = 7 cm and BD = 6.8 cm.
Construct
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Answer 1

Consider BC & AD as a diagonal. Before constructing this figure,u have to draw one of the diagonal with the help of a Ruler. It will be easier to construct the whole figure. If u consider one of the diagonal as a base of a triangle,u will be able to construct the whole figure by dividing it into two triangles.

Step-by-step explanation:

Diagonal:- BC= 4.2 cm (Base of the triangle ABD)

AD= 5.5 cm (Base of the triangle ACD)

Answer 2

⇒  Draw a line segment AB=5.5cm

⇒  Take A as center with radius 4.4cm and draw an arc.

⇒  Take B as center with radius 7.1cm and draw an arc, which meet previous arc at point D

⇒  Take A as center with radius 6.5cm and draw an arc.

⇒  Take D as center with radius 6.5cm and draw an arc, which meet previous arc at point C

⇒  Join AD,BD,DC and BC

∴  ABCD is a required quadrilateral.

I hope it will help you.

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