Q. 293.7( 6 Votes )

Construct a trian

Answer :

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 = 60o


(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’



∴ ∠ABC is the required triangle.


The justification for the given solution:


Form AA rule of similarly we have


(i)


Also, (ii)


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


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