As the name suggests, ‘equi’ means equal, and an equilateral triangle is the one in which all sides are equal.
The internal angles of any given equilateral triangle are of the same measure, that is, equal to 60 degrees.
What is the Area of Equilateral Triangle Formula?
The area of an equilateral triangle is the amount of space that it occupies in a 2-dimensional plane. To recall, an equilateral triangle can be defined as a triangle in which all the sides are equal and the measure of all the internal angles is 60°. So, an equilateral triangle’s area can be calculated if the length of any one side of the triangle is known.
The Perimeter of Equilateral Triangle Formula
The perimeter of a triangle is equal to the sum of the length of its three sides, whether they are equal or not.
Here is a list of the area of the equilateral triangle formula, the altitude of the equilateral triangle formula, the perimeter of the equilateral triangle formula, and the semi-perimeter of an equilateral triangle.
Formulas and Calculations for an Equilateral Triangle:
Perimeter of Equilateral Triangle: P = 3a
Semiperimeter of Equilateral Triangle Formula: s = 3a/2
Area of Equilateral Triangle Formula: K = (1/4) * √3 * a2
The altitude of Equilateral Triangle Formula: h = (1/2) * √3 * a
Angles of Equilateral Triangle: A = B = C = 60 degrees
Sides of Equilateral Triangle: a equals b equals c.
1. Given the side of the triangle find the perimeter, semiperimeter, area, and altitude.
2. Given the perimeter of triangle find the side, semiperimeter, area, altitude.
3. Given the semi perimeter of a triangle find the side, perimeter, area, and altitude.
4. Given the area of the triangle find the side, perimeter, semiperimeter, and altitude.
K is known; find a, P, s and h.
a = √[(4 / √3) * K] equals 2 * √[K/√3]
P = 3a
s = 3a / 2
h = (1/2) * √3 * a
5. Given the altitude/height find the side, perimeter, semiperimeter, and area
Question 1) Suppose you have an equilateral triangle with a side of 5 cm. What will be the perimeter of the given equilateral triangle?
Solution) We know that the formula of the perimeter of an equilateral triangle is 3a.
Here, a = 5 cm
Therefore, Perimeter = 3 * 5 cm = 15 cm.