Steps of Constructions :
1. Draw a line segment BC = 6 cm.
2. Draw perpendicular bisector of BC which cuts the line BC at Q.
3. Cut the line QA = 4 cm.
4. Join A to B and C.
5. Triangle ABC is the given triangle.
6. Draw a ray BX making an acute angle with BC.
7. Mark the four points B1, B2 B3 and B4 on the ray BX, such that BB1 = B1B2 = B2B3 = B3B4.
8. Join B4C. Draw B3C' || B4C
9. From C' draw C'A' l l CA meeting BA at A'.
Hence, ΔA'BC' a required triangle.