Construct a triangle ABC in which BC = 6 cm, AB = 5 cm and. Then construct another triangle whose sides are times the corresponding sides of .

We have to construct a triangle ABC in which BC = 6 cm, AB = 5 cm also we have to construct another triangle whose sides are times the corresponding sides of triangle ABC. The figure for the following situation is as follows:

The step of constructions for the above figure are as follows:

(i) Firstly, we have to draw a triangle ABC having AB = 5 cm, BC = 6 cm and angle ABC = 60^o

(ii) Secondly, we have to draw a ray BX downwards that makes an acute angle with BC

(iii) After this locate 4 points B₁, B₂, B₃, B₄ on BX such that BB₁ = B₁B₂ = B₂B₃ = B₃B₄

(iv) Now Join CB₄ and draw a line C’B₃ CB₄ from B₃ such that it will intersect BC at C’

(v) At last, from C draw A’C’ AC which intersects AB at B’

∴

The justification for the given solution:

_{Form AA rule of similarly we have}

_∴ (i)

Also, (ii)

_{Hence, from equation (i) and (ii) we have:}