In □TYRE, l(TY) = 3.5 cm, l(YR) = 5 cm, l(RE) = 4.5 cm, m∠Y = 60° and m∠R = 120°.

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Solution

Given: l(TY)=3.5 cm, l(YR)=5 cm, l(RE)=4.5 cm, m $∠$ Y=60° and m $∠$ R=120°.
First, we draw a rough sketch of quadrilateral TYRE and indicate the given lengths, as shown below.

Steps of Construction:
(1) Draw a line segment TY of length 3.5 cm.

(2) Then, construct an angle of 60° at Y and cut the point R, such that RY = 5 cm.

(3) Now, construct an angle of 120° at R and cut the point E, such that RE = 4.5 cm. Then, join TE.

Thus, TYRE is the required quadrilateral.

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