Page 2 - LN(Two adjacent sides and three angles given)

EXAMPLE – 1

Construct the following quadrilateral:

Quadrilateral DEAR

DE = 4 cm, EA = 5 cm, AR = 4.5 cm, ∠E = 60°, ∠A = 90°

Ans: (i) Given: DE = 4 cm, EA = 5 cm, AR = 4.5 cm, ∠E = 60°, ∠A = 90°

To construct: A quadrilateral DEAR

Steps of construction:

(a) Draw a line segment DE = 4 cm.
(b) At point E, construct an angle of 60°.
(c) Taking radius 5 cm, draw an arc from point E which intersects at A.
(d) Construct ∠A = 90°, draw an arc of radius 4.5 cm with centre A which intersect at R.
(e) Join RD.

It is the required quadrilateral DEAR.

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