An equilateral triangle is a triangle in which all three sides and angles are equal. All three internal angles of equilateral triangle measures 60 degree.
- If we know the length of each sides of equilateral triangle, then we can use below mentioned formula to calculate area of equilateral triangle.
Area of Equilateral Triangle = (sqrt(3)/4) * a * a
- If we know the length of altitude of equilateral triangle along with the length of side, then we can use below mentioned formula to calculate it’s area.
Area of Equilateral Triangle = (1/2) x Side x Altitude
Perimeter of Equilateral Triangle :
Perimeter of Equilateral Triangle : 3 X a
How does the area formula work?
Let us take a look at below diagram. We know are of a triangle is 1/2 * base * height. The value of h is sqrt(a2 – (a/2)2) = sqrt(3) * a / 2. So the area becomes 1/2 * a * (sqrt(3) * a / 2) = (sqrt(3)/4) * a * a
Â
Examples:
Input : side = 4
Output : Area of Equilateral Triangle: 6.9282
Perimeter of Equilateral Triangle: 12
Input : side = 12
Output : Area of Equilateral Triangle: 62.3538
Perimeter of Equilateral Triangle: 36
C++
// CPP program to find area // and perimeter of equilateral triangle #include <bits/stdc++.h> using namespace std; Â Â // Function to calculate Area // of equilateral triangle float area_equi_triangle(float side) { Â Â Â Â return sqrt(3) / 4 * side * side; } Â Â // Function to calculate Perimeter // of equilateral triangle float peri_equi_triangle(float side) { Â Â Â Â return 3 * side; } Â Â // Driver Code int main() { Â Â Â Â float side = 4; Â Â Â Â cout << "Area of Equilateral Triangle: "Â Â Â Â Â Â Â Â << area_equi_triangle(side) << endl; Â Â Â Â cout << "Perimeter of Equilateral Triangle: "Â Â Â Â Â Â Â Â << peri_equi_triangle(side); Â Â Â Â return 0; } |
Java
// Java Program to find area and // perimeter of equilateral triangle import java.io.*;   class GFG {     // Function to calculate     // Area of equilateral triangle     static float area_equi_triangle(float side)     {           return (float)(((Math.sqrt(3)) / 4) *                         side * side);     }       // Function to calculate     // Perimeter of equilateral     // triangle     static float peri_equi_triangle(float side)     {         return 3 * side;     }           // Driver Code     public static void main(String arg[])     {         float side = 4;         System.out.print("Area of Equilateral Triangle:");         System.out.println(area_equi_triangle(side));         System.out.print("Perimeter of Equilateral Triangle:");         System.out.println(peri_equi_triangle(side));     } }   // This code is contributed // by Anant Agarwal. |
Python
# Python3 program to calculate Area and # Perimeter of equilateral Triangle   # Importing Math library for sqrt from math import *  # Function to calculate Area # of equilateral triangle def area_equilateral( side ):     area = (sqrt(3) / 4) * side * side     print ("Area of Equilateral Triangle: % f"% area)   # Function to calculate Perimeter # of equilateral triangle def perimeter( side ):     perimeter = 3 * side     print ("Perimeter of Equilateral Triangle: % f"% perimeter)       # Driver code side = 4area_equilateral( side ) perimeter( side ) |
C#
// C# Program to find area and // perimeter of equilateral triangle using System;   class GFG {     // Function to calculate     // Area of equilateral triangle     static float area_equi_triangle(float side)     {           return (float)(((Math.Sqrt(3)) / 4) *                         side * side);     }       // Function to calculate     // Perimeter of equilateral     // triangle     static float peri_equi_triangle(float side)     {         return 3 * side;     }           // Driver Code     public static void Main()     {         float side = 4;         Console.Write("Area of Equilateral Triangle:");         Console.WriteLine(area_equi_triangle(side));         Console.Write("Perimeter of Equilateral Triangle:");         Console.WriteLine(peri_equi_triangle(side));     } }   // This code is contributed // by vt_m. |
PHP
<?php // PHP program to find area // and perimeter of equilateral triangle     // Function to calculate Area // of equilateral triangle function area_equi_triangle( $side) {     return sqrt(3) / 4 * $side * $side; }   // Function to calculate Perimeter // of equilateral triangle function peri_equi_triangle( $side) {     return 3 * $side; }   // Driver Code   $side = 4; echo("Area of Equilateral Triangle: "); echo(area_equi_triangle($side)); echo("\n"); echo("Perimeter of Equilateral Triangle: "); echo( peri_equi_triangle($side));   // This code is contributed // by vt_m. ?> |
Javascript
<script>     //Javascript program to find area     // and perimeter of equilateral triangle           // Function to calculate     // Area of equilateral triangle     function area_equi_triangle(side)     {         return (((Math.sqrt(3)) / 4) * side * side).toFixed(4);     }           // Function to calculate     // Perimeter of equilateral     // triangle     function peri_equi_triangle(side)     {         return 3 * side;     }           //Driver code     var side = 4;     document.write("Area of Equilateral Triangle:");     document.write(area_equi_triangle(side)+"\n");     document.write("Perimeter of Equilateral Triangle:");     document.write(peri_equi_triangle(side)+"\n");           //This code is contributed by shruti456rawal </script> |
Output
Area of Equilateral Triangle: 6.9282 Perimeter of Equilateral Triangle: 12
Time Complexity: O(1)
Auxiliary Space: O(1)
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