The Properties And Formulas Of Equilateral Triangles – A Complete Guide

Equaliateral Triangle

a triangle with 3 congruent (equal) sides

An equilateral triangle is a type of polygon that has three sides and three angles of equal length. In other words, each side of an equilateral triangle is of the same length.

Properties of an Equilateral Triangle:

1. All three sides are congruent: This means that each side of the equilateral triangle is of equal length.

2. All three angles are congruent: Each angle of the equilateral triangle measures 60 degrees.

3. It is a regular polygon: This means that all sides and angles are equal in measure, and the shape is always the same.

4. It has three axes of symmetry: This means that there are three lines that can be drawn in the triangle such that the resulting two regions are mirror images of one another.

5. Its area can be calculated using the formula: A = (s^2 * sqrt(3))/4, where s is the length of one side of the triangle.

In addition, the circumcenter (where the perpendicular bisectors of the sides meet) of an equilateral triangle is also the centroid (where the medians of the sides meet) and the incenter (where the angle bisectors of the angles meet).

More Answers: