In each of the following, give the justification of the construction also:
1. Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measure the two parts.
2. Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose
sides are $2/3$ of the corresponding sides of the first triangle.
3. Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose
sides are $7/5$ of the corresponding sides of the first triangle.
4. Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another
triangle whose sides are $1{1/2}$ times the corresponding sides of the isosceles triangle.
5. Draw a triangle ABC with side BC = 6 cm,AB = 5 cm and ∠ABC = 60°. Then construct a triangle whose sides are $3/4$
of the corresponding sides of the triangle ABC.
6. Draw a triangle ABC with side BC = 7 cm, ∠ B = 45°, ∠A = 105°. Then, construct a triangle whose sides are $4/3$
times the corresponding sides of ∆ABC.
7. 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 $5/3$ times the corresponding sides of the given triangle.