#### Question

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

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#### Solution

Construct the Δ ABC as per given measurements.

1) in the half plane if `bar(AB)` which does not contain C,

2)draw `vec(AX)` such that ∠BAX is an acute angle

3) With some appropriate radius and centre A, Draw an arc to intersect vec(AX) at B_1. Similarly, with center B_1 and same radius, drawn an arc to intersect `vec(BX)` at B_{2} such that `B_1B_2=B_3B_4=B_4B_5=B_5B_6=B_6B_7=B_7B_8`

4) Draw bar(B_{6}B)

5) Through B_{8 }draw a ray parallel to bar(B_{6}B).to intersect `bar(AY)` at B'.

6) Through B' draw aray parallel to `bar (BC)` to intersect `bar(AZ)` at C' thus , ΔAB'C' is required triangle

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#### Reference Material

Solution for question: Construct a Δ ABC in which AB = 6 cm, ∠A = 30° and ∠B = 60°, Construct another ΔAB’C’ similar to ΔABC with base AB’ = 8 cm. concept: Division of a Line Segment. For the course CBSE