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Construct the following quadrilaterals,
(i) Quadrilateral DEAR
DE = 4 cm
EA = 5 cm
AR = 4.5 cm
∠E = 60°
∠A = 90°
(ii) Quadrilateral TRUE
TR = 3.5 cm
RU = 3 cm
UE = 4 cm
∠R = 75°
∠U = 120°
(i)
(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.
(ii)
(1)A rough sketch of this quadrilateral can be drawn as follows.
(2) Draw a line segment RU of 3 cm and an angle of 120º at point U. As vertex E is 4 cm away from vertex U, cut a line segment UE of 4 cm
from this ray.
(3) Next, draw an angle of 75º at point R. As vertex T is 3.5 cm away from vertex R, cut a line segment RT of 3.5 cm from this ray.
(4) Join T to E.
TRUE is the required quadrilateral.
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