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.