By geometrical construction, it is possible to divide a line segment in the ratio .

To construct a triangle similar to a given ∆ABC with its sides 8/5 of the corresponding sides of ∆ABC draw a ray BX such that ∠CBX is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is

To draw a pair of tangents to a circle which are inclined to each other at an angle of 60°, it is required to draw tangents at endpoints of those two radii of the circle, the angle between them should be

To construct a triangle similar to a given ∆ ABC with its sides 7/3 of the corresponding sides of ∆ABC, draw a ray BX making an acute angle with BC and X lies on the opposite side of A with respect of BC. The points B₁, B₂,...........B₁ are located at equal distances on BX, B₃ is joined to C and then a where C’ lines on BC produced. Finally line segment A’C’ is drawn parallel to AC.

A parallel tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the center.