Question

Construct the following quadrilaterals,

Quadrilateral DEAR

DE = 4 cm

EA = 5 cm

AR = 4.5 cm

∠E = 60°

∠A = 90°

Answer 1

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.