Construct a triangle similar to a given such that each of its sides is of the corresponding sides of . It is given that AB = 5 cm, BC = 7 cm and .


Steps of construction:


1. Draw a line AB=5cm


2. Construct angle ABC= 50o, such that AB=5cm


3. Join AC to get Triangle ABC


4. Draw a line AX making an acute angle with AB and divide it in 7 equal parts


5. Join X7B and draw a line passing through X7B


6. Let this line be intersecting line AB at B


7. Now draw a line passing through B and parallel to BC which intersect the extended line Ac at C'


8. Thus triangle ABC is the required triangle, which is similar to the given triangle and with side 5/7 of the side of the given triangle.


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