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To construct a triangle Δ���ΔABC with ��=6AB=6 cm, ∠�=30∘∠A=30∘, and ∠�=60∘∠B=60∘, follow these steps:

1. Draw a line segment ��AB of length 6 cm.
2. At point �A, construct an angle of 30∘30∘.
3. At point �B, construct an angle of 60∘60∘.
4. Label the intersection of the two constructed angles as �C.
5. Connect points �A and �C, as well as points �B and �C.

To construct a similar triangle Δ��′�′ΔAB′C′ with base ��′=8AB′=8 cm, follow these steps:

1. Extend ��AB to the right to create ��′AB′ of length 8 cm.
2. At point �A, construct an angle of 30∘30∘.
3. At point �′B′, construct an angle of 60∘60∘.
4. Label the intersection of the two constructed angles as �′C′.
5. Connect points �A and �′C′, as well as points �′B′ and �′C′.

Both triangles will be similar because they have corresponding angles of the same measure.