Triangle

Equilateral Triangle

triangle.

As was stated previously an equilateral triangle is a triangle with all its angles and all its sides equal in measure. Taking the triangle shown above the angles M, N and O are all equal in measure. Since all the internal angles of a triangle should add up to 180° and all the angles in this triangle are equal, well then this means that the angle M or (<M) = 60°and thus <N = 60°and <O = 60°.

Angles, sides and vertices.

triangle angles, sides, vertices

This drawing illustrates that all the angles and sides in this triangle are equal in measure.

Exterior Angles

An exterior angle of a polygon is formed when one of its sides is extended through a vertex. The image shown below shows a triangle with an exterior angle at each of its vertices.

exterior angle.

Characteristics of an equilateral triangle:

equilateral triangle

	Number of sides = 3:
	Number of vertices = 3:
	Interior angle = 60°:
	Exterior angle = 120°:
	Exterior angle multiplied by the number of sides = 360°:
	Number of sides = number of vertices: