Understanding the Properties and Formulas of Equilateral Triangles | A Comprehensive Guide for Math Enthusiasts

Equilateral Triangle

An equilateral triangle is a special type of triangle in which all three sides are of equal length

An equilateral triangle is a special type of triangle in which all three sides are of equal length. In other words, it is a triangle with three congruent sides. Additionally, all three angles of an equilateral triangle are also congruent and each measuring 60 degrees.

Properties of an equilateral triangle:

1. Side lengths: In an equilateral triangle, all sides have the same length. Let’s say the length of one side is ‘s’, then the length of all sides of the equilateral triangle will also be ‘s’.

2. Angles: All three angles of an equilateral triangle are equal and measure 60 degrees. This means that each angle is one-third (1/3) of the total sum of angles in the triangle, which is 180 degrees.

3. Perimeter: The perimeter of an equilateral triangle can be calculated by multiplying the length of one side by 3. So the perimeter of an equilateral triangle would be 3s, where ‘s’ represents the length of one side.

4. Area: The area of an equilateral triangle can be calculated using the formula A = (s^2 * √3) / 4, where ‘A’ represents the area and ‘s’ represents the length of one side.

5. Height: The height of an equilateral triangle can be calculated using the formula h = (s * √3) / 2, where ‘h’ represents the height and ‘s’ represents the length of one side. The height is a line segment drawn from any vertex of the triangle perpendicular to the opposite side.

Overall, the equilateral triangle is a symmetric and balanced shape, commonly encountered in various mathematical and geometric contexts.

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