Construct a triangle similar to a given triangle with sides 6 cm, 7 cm and 8 cm and whose sides are th of the corresponding sides of the given triangle.

align="center">  
                                                                                                                       
Steps of construction:  
1. Draw a line segment BC = 7 cm 
2. With B as centre and with radius 6 cm, draw an arc. 
3. With C as centre and with radius 8 cm, draw another arc, intersecting the previously drawn arc at A. 
4. Join AB and AC. Then,  Δ ABC is the required triangle. 
5. Below BC, make an acute angle ∠ CBX. 
6. Along BX, mark off seven points X₁, X₂, X₃…..X₇ such that XX₁ = X_1X2…… X₆X₇ 
7. Join X₇ to C and draw a line through X₅ parallel to X₇C, intersecting the extended line segment BC at C'. 
8. Draw a line through C' parallel to CA intersecting the line segment BA at A'. Then A'BC' is the required triangle.