Question

Draw a line MN=5.8cm. Locate point A which is 4.5cm from M and 5cm from N. Through A draw a line parallel to line MN.

Answer 1

Steps of construction:

1. Construct a line MN =5.8 cm
2. Taking M as centre and radius =4.5cm, construct an arc.

3. Taking N as centre draw another arc of radius 5 cm. These arcs intersect each other at A.
4. Now join AM and AN.
5. At point A, construct $\angle$DAN=$\angle$ANM
6. Produce DA to any point C.

Therefore, CAD is the required parallel line.