Constructions question bank (Maths)

Draw a line segment of length $7.6 \, cm$ and divide it in the ratio $5: 8$. Measure the two parts and give the justification of the construction.

Construct a triangle of sides $4 \, cm$,$5 \, cm$ and $6 \, cm$ and then a triangle similar to it whose sides are $\frac{2}{3}$ of the corresponding sides of the first triangle. Also,give the justification of the construction.