Construct the following quadrilaterals:
(i) Quadrilateral DEAR
DE = 4 cm, EA = 5 cm, AR = 4.5 cm, ∠E = 60°, ∠A = 90°
Solution:
Construction steps:
Step I: Draw a line DE = 4 cm.
Step II: At E draw an angle of 60°.
Step III: with centre E draw an arc of radius 5 cm to meet the angle line at A.
Step IV: Draw an angle of 90° at A and cut AR = 4.5 cm.
Step V: Join DR.
Hence, DEAR is the required quadrilateral.
(ii) Quadrilateral TRUE
TR = 3.5 cm, RU = 3 cm, UE = 4.5 cm, ∠R = 75°, ∠U = 120°
Solution:
Constructions steps:
Step I: Draw a line segment TR = 3.5 cm
Step II: At R draw an angle of 75° and cut RU = 3 cm.
Step III: At U draw an angle of 120° and cut UE = 4.5 cm.
Step IV: Join TE.
Hence, TRUE is the required quadrilateral.
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