Question

Construct a quadrilateral DEAR in which DE = 4.7 cm., EA = 5.0 cm., AR = 4.5 cm., ∠E = 60° and ∠A = 90°.

Answer 1

First of all we draw a rough sketch of given measurements :

Steps of Construction

1. Draw a line of segment DE = 4.7 cm.
2. From point E, a ray EX in drawn making an angle of 60° with DE from point E an arc of 5.0 cm is cut on EX and marked the point as A.
3. Similarly, at A, a ray AY is drawn making an angle of 90°. Cut an arc of 4.5 cm on AY and marked the point as R.
4. Join DR.
5. Thus, we obtained a required quadrilateral DEAR.