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Find length of Diagonal of Hexagon
  • Last Updated : 12 Nov, 2018

Given a regular hexagon of side length a, the task is to find the length of it’s diagonal.

Examples:

Input : a = 4
Output : 8

Input : a = 7
Output : 14

From the diagram, it is clear that the triangle ABC is an equilateral triangle, so
AB = AC = BC = a.

also it is obvious, diagonal = 2*AC or 2*BC
So the length of diagonal of the hexagon = 2*a



Below is the implementation of the above approach:

C++




// C++ Program to find the diagonal
// of the hexagon
#include <bits/stdc++.h>
using namespace std;
  
// Function to find the diagonal
// of the hexagon
float hexadiagonal(float a)
{
    // side cannot be negative
    if (a < 0)
        return -1;
  
    // diagonal of the hexagon
    return 2 * a;
}
  
// Driver code
int main()
{
    float a = 4;
  
    cout << hexadiagonal(a) << endl;
  
    return 0;
}


Java




// Java Program to find the diagonal
// of the hexagon
  
import java.io.*;
  
class GFG {
  
// Function to find the diagonal
// of the hexagon
static float hexadiagonal(float a)
{
    // side cannot be negative
    if (a < 0)
        return -1;
  
    // diagonal of the hexagon
    return 2 * a;
}
  
// Driver code
  
  
    public static void main (String[] args) {
            float a = 4;
  
    System.out.print( hexadiagonal(a));
}
}
  
// This code is contributed
// by shs


Python3




# Python3 Program to find the diagonal
# of the hexagon
  
# Function to find the diagonal
# of the hexagon
def hexadiagonal(a):
  
    # side cannot be negative
    if (a < 0):
        return -1
  
    # diagonal of the hexagon
    return 2 * a
  
  
# Driver code
if __name__=='__main__':
    a = 4
    print(hexadiagonal(a))
  
# This code is contributed by 
# Shivi_Aggarwal


C#




// C# Program to find the diagonal
// of the hexagon
using System;
  
class GFG {
  
    // Function to find the diagonal
    // of the hexagon
    static float hexadiagonal(float a)
    {
        // side cannot be negative
        if (a < 0)
            return -1;
          
        // diagonal of the hexagon
        return 2 * a;
    }
  
// Driver code
public static void Main()
{
   float a = 4;
   Console.WriteLine( hexadiagonal(a));
}
}
  
// This code is contributed
// by anuj_67..


PHP




<?php
// PHP Program to find the diagonal
// of the hexagon
  
// Function to find the diagonal
// of the hexagon
function hexadiagonal($a)
{
    // side cannot be negative
    if ($a < 0)
        return -1;
  
    // diagonal of the hexagon
    return 2 * $a;
}
  
// Driver code
    $a = 4;
  
    echo hexadiagonal($a);
    // This code is contributed
// by anuj_67..
  
?>


Output:

8

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