Question

Construct a Quadrilateral DEAR where DE = 4 cm EA = 5 cm AR = 4.5 cm ∠E = 60°.

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Answer 1

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$\huge\tt{GIVEN:}$

• Construct a Quadrilateral DEAR where DE = 4 cm EA = 5 cm AR = 4.5 cm ∠E = 60°.

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$\huge\tt{CONSTRUCTING:}$

Step 1: Draw a line segment DE of 4 cm and an angle of 60º at point E. As A is 5 cm away from E, cut the line segment EA 5 cm from point E on this ray.

Step 2: Again draw an angle of 90º at point A. As R is 4.5 cm away from A, cut a line segment RA of 4.5 cm from A on this ray.

Step 3: Join D to R.

DEAR is the required quadrilateral.

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