Mastering The Basics: Key Properties And Formulas Of Equilateral Triangles

Equilateral triangle

A triangle with three congruent sides and angles

An equilateral triangle is a three-sided polygon in which all sides are equal in length and all angles measure 60 degrees. Here are some key facts and properties of equilateral triangles:

1. All three angles of an equilateral triangle are congruent and measure 60 degrees.
2. All three sides of an equilateral triangle are congruent in length.
3. The altitude of an equilateral triangle divides the triangle into two 30-60-90 right triangles.
4. The perimeter of an equilateral triangle is three times the length of one side.
5. The area of an equilateral triangle can be found using the formula A = (s^2 * sqrt(3))/4, where A is the area, s is the length of a side.

Some additional facts about equilateral triangles are that they are always also acute triangles, meaning all angles are less than 90 degrees. They also have the maximum possible area for a given perimeter, and can be used as a building block for many other geometric shapes and patterns. In general, equilateral triangles embody symmetry and balance, making them an important concept in geometry and beyond.

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