Draw a $\vartriangle ABC$ in which $BC=6cm$, $AB=4cm$ and $AC=5cm$. Draw a triangle similar to $\vartriangle ABC$with its sides equal to $(3/4)$ of the corresponding sides of $\vartriangle ABC$.

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Draw a $\vartriangle ABC$ in which $BC=6cm$ , $AB=4cm$ and $AC=5cm$ . Draw a triangle similar to $\vartriangle ABC$ with its sides equal to $(3/4)$ of the corresponding sides of $\vartriangle ABC$ .

Draw a $\vartriangle ABC$ in which $BC=6cm$ , $AB=4cm$ and $AC=5cm$ . Draw a triangle similar to $\vartriangle ABC$ with its sides equal to $(3/4)$ of the corresponding sides of $\vartriangle ABC$ .

Steps of construction:

1. Make a line segment $BC=6cm$ .

2. Assuming center as B and radius $4cm$ and with C as center and radius $5cm$ , draw arcs intersecting each other at A.

3. Join AB and AC. Then, ABC is the triangle.

4. Construct a ray BX making an acute angle with BC and cut off $4$ equal parts making $B{{B}_{1}}={{B}_{1}}{{B}_{2}}={{B}_{2}}{{B}_{3}}={{B}_{3}}{{B}_{4}}$