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Chapter 11 Constructions

Basic Constructions

Some Constructions of Triangles

Use only ruler and compass while drawing constructions.

Protractor may be used for drawing nonstandard angles.

Constructions of a triangle given its base, a base angle and the difference of the other two sides.

Constructions of a triangle given its perimeter and its two base angles.

A triangle can be constructed if its perimeter and two base angles are given.

Geometrical construction is the process of drawing a geometrical figure using only two instrumentsan ungraduated ruler and a pair of compasses.

Some specific angles like 15°,30^{o},45^{o},60^{o},75^{o},90°, etc. can be constructed without using protractor.

A triangle can be constructed if its base, base angle and the sum of the two sides or the difference of the other two sides are given.