Construct a triangle with sides 5 cm, 4 cm and 6 cm. Then construct another triangle whose sides are times the corresponding sides of first triangle.

Steps of Construction:

1. Draw a line Segment AB = 4 cm. Taking point A as a centre, draw an arc of 5 cm radius. Similarly, taking point B as its center, draw an arc of 6 cm radius. These arcs will intersect each other at point C.

2. Draw any ray AX making an acute angle with BC on the side opposite to the vertex A.

Locate 3 points [the greater of 2 and 3 in (2/3)] A₁, A₂, A₃, A₄ on AX so that

AA₁ = A₁A₂ = A₂A₃

3. Join BA₃ and draw a line through A₂ parallel to BA₃, intersecting the line segment AB at C′.

5. Draw a line through B′ parallel to BC intersecting the line segment AC at C′.

∴ Δ AB'C' is the required Triangle.