Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then, construct another triangle whose sides are times the corresponding sides of the given triangle.

Steps of Construction:

1. Draw base AB of side 3 cm.

2. Draw ∠ A = 90°

3. Taking A as center, 4 cm as radius, we draw an arc. Let the point where the arc intersects the ray be point C.

4. Join BC.

Δ ABC is the required triangle.

Now, we need to make a triangle which is times its size.

Scale factor

Steps of Construction:

1. Draw any ray AX making an acute angle with AB on the side opposite to the vertex C.

2. Mark 5 (greater of 5 and 3) points B₁, B₂, .., B₅ on AX so that AB₁ = B₁B₂ = .. = B₄B₅.

3. Join B₃B and draw a line parallel to B₃B, to intersect AB extended at B’.

4. Draw a line through B’ parallel to the line BC to intersect AC extended at C’.

Thus, Δ A’BC’ is the required triangle.