Monday, July 19, 2010

EQUILATERAL TRIANGLE

A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC.

There are different types of triangles. One among them that we will focus on today is Equilateral Triangle.
An equilateral triangle is a special isosceles triangle in which all three sides are congruent. Equilateral triangles are also equiangular, which means all three angles are congruent. The measure of each angle is 60 degrees. The figure below depicts an equilateral triangle with all the parts labeled.
Listed below are some rules that are to be kept in mind while dealing with isosceles and/or equilateral triangles.

1. If a triangle is equilateral, it is equiangular.

2. If two angles of a triangle are congruent, they are the base angles of an isosceles triangle.

3. If a triangle is equiangular, it is equilateral.

An equilateral triangle is the most symmetrical triangle, having 3 lines of reflection and rotational symmetry of order 3 about its center. Construction of triangles is very simple there are a few steps that you need to follow while you are constructing triangles.

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