Question

In RDTG, l(RD) = 6 cm, l(DT) = 4 cm, l(TG) = 4 cm, m∠D = 100°, m∠T = 90°.

Answer 1

Given: l(RD)=6 cm, l(DT)=4 cm, l(TG)=4 cm, m$\angle$D=100° and m$\angle$T=90°.
First, we draw a rough sketch of quadrilateral RDTG and indicate the given lengths, as shown below.

Steps of Construction:
(1) Draw a line segment RD of length 6 cm.

(2) Then, construct an angle of 100° at D and locate the point T, such that DT =4 cm.

(3) Now, construct an angle of 90° at T and locate the point G, such that GT = 4 cm. Then, join RG.

Thus, RDTG is the required quadrilateral.