Embibe Experts Solutions for Chapter: Constructions, Exercise 1: Exercise

Construct a triangle of sides $4 \mathrm{cm}, 5 \mathrm{cm}$ and $6 \mathrm{cm}$. Then, construct a triangle similar to it, whose sides are $\frac{2}{3}$ of the corresponding sides of the first triangle. 

Construct an isosceles triangle whose base is $8 \mathrm{cm}$ and altitude is $4 \mathrm{cm}$. Then, draw another triangle whose sides are $1\frac{1}{2}$ times the corresponding sides of the isosceles triangle.

Construct a right triangle with sides $3 \mathrm{cm}, 4 \mathrm{cm} \mathrm{and} 5 \mathrm{cm}$. And then construct a triangle similar to the right triangle, the scale factor being $\frac{7}{4}$.

Draw a triangle with sides $5 \mathrm{cm}, 7 \mathrm{cm} \mathrm{and} 8 \mathrm{cm}$. Construct a triangle with sides of $\frac{4}{5}$ of the corresponding sides of the first triangle.

Draw a triangle $\mathrm{ABC}$, in which $\mathrm{AB}=6 \mathrm{cm}, \mathrm{BC}=7 \mathrm{cm}$ and $\angle \mathrm{B}=45°$. Construct a triangle with sides of $\frac{5}{8}$ of the corresponding sides of the triangle $\mathrm{ABC}$.

Construct an isosceles triangle of a base and altitude. Then construct another triangle whose sides are $\frac{3}{2}$ times the corresponding sides of the first triangle.

Draw any line and divide it in the ratio $3:7$.

Draw any line and divide it in the ratio $4:7$.