# To Construct a Triangle similar to a given Triangle as per given Scale Factor

Construct aÂ Î”Â ABC in which, BC = 6 cm, AB = 3.5 cm and AC = 4.5 cm. Draw a triangle similar toÎ”Â ABC with its sides equal toÂ

**Steps of ConstructionÂ **

1. Draw the line-segment BC = 6 cm.

2. With B as the centre and the radius equal toÂ 3.5 cm, draw an arc. Now, with C as the centreÂ and the radius being 4.5 cm, draw anotherÂ arc meeting the first arc at A.

3. Join AB and AC. ThenÂ Î”Â ABC is the required triangle.

4. Draw a line BD making an acute angle withÂ BC. Mark 5 equal distances on BD such thatÂ BB_{1}Â = B_{1}B_{2Â }= B_{2}B_{3Â }= B_{3}B_{4Â }= B_{4}B_{5}.

5. Join 5th (B_{5}) point to C. Draw a line through B_{4Â }(the 4th point) parallel to B_{5}C to intersect BC at C'.

6. Draw a line through C' parallel to the line CA to intersect BA at A'.Â Â Â Â Â Â Â Â

Then A'BC' is the required triangle similar toÂ Î”Â ABC.