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in Mathematics by (15.0k points)

Construct the following quadrilaterals, Quadrilateral DEAR  

DE = 4 cm

EA = 5 cm 

AR = 4.5 cm

∠E = 60°

∠A = 90°

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(1)A rough sketch of this quadrilateral can be drawn as follows.

(2) Draw a line segment DE of 4 cm and an angle of 60º at point E. As vertex A is 5 cm away from vertex E, cut a line segment EA of 5 cm from this ray.

(3) Again draw an angle of 90º at point A. As vertex R is 4.5 cm away from vertex A, cut a line segment RA of 4.5 cm from this ray.

(4) Join D to R.

DEAR is the required quadrilateral.

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