10. Construct a ΔABC in which AB = 6 cm, ∠A = 30° and ∠B = 60°. Construct another ΔAB’C’ similar to ΔABC with base AB’ = 8 cm.

To construct a triangle ABC Draw a line segment AB of length 6cm with ruler & pencil Measure angle A=30⁰ with protractor or using compass same Measure angle B=60⁰ Name the intersecting point of these lines as angle C This is your required triangle ABC # same steps follow for another triangle AB'C' Draw length of AB'= 8cm read less

To construct a triangle Δ���ΔABC with ��=6AB=6 cm, ∠�=30∘∠A=30∘, and ∠�=60∘∠B=60∘, follow these steps: Draw a line segment ��AB of length 6 cm. At point �A, construct an angle of 30∘30∘. At point �B, construct an angle of 60∘60∘. Label the intersection of the two constructed angles as �C. 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: Extend ��AB to the right to create ��′AB′ of length 8 cm. At point �A, construct an angle of 30∘30∘. At point �′B′, construct an angle of 60∘60∘. Label the intersection of the two constructed angles as �′C′. 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. read less