Finding the Area of an
Equilateral Triangle using
Heron's Formula
Overview
In this note, we will focus on how to find the area of an
equilateral triangle using Heron's formula. We will not
cover other topics related to calculating the total cost of
painting a triangular wall, finding the area of an isosceles
triangle, or solving for the area of a triangle with a given
perimeter and side lengths.
Prerequisites
To follow along, you should have a basic understanding of
the following concepts:
What is a triangle and its properties
What is an equilateral triangle
What is Heron's formula
Finding the Area of an Equilateral Triangle
using Heron's Formula
Heron's formula is a way to calculate the area of a triangle
when you know the length of all three sides. The formula
is:
Area = sqrt[s(s-a)(s-b)(s-c)]
where s is the semi-perimeter of the triangle (half of the
perimeter), and a , b , and c are the side lengths of the
triangle.
To find the area of an equilateral triangle using Heron's
formula, first find the semi-perimeter:
Equilateral Triangle using
Heron's Formula
Overview
In this note, we will focus on how to find the area of an
equilateral triangle using Heron's formula. We will not
cover other topics related to calculating the total cost of
painting a triangular wall, finding the area of an isosceles
triangle, or solving for the area of a triangle with a given
perimeter and side lengths.
Prerequisites
To follow along, you should have a basic understanding of
the following concepts:
What is a triangle and its properties
What is an equilateral triangle
What is Heron's formula
Finding the Area of an Equilateral Triangle
using Heron's Formula
Heron's formula is a way to calculate the area of a triangle
when you know the length of all three sides. The formula
is:
Area = sqrt[s(s-a)(s-b)(s-c)]
where s is the semi-perimeter of the triangle (half of the
perimeter), and a , b , and c are the side lengths of the
triangle.
To find the area of an equilateral triangle using Heron's
formula, first find the semi-perimeter:
