内切圆内接等边三角形的六边形内接的最大正方形
这里给出了一个边长为 a 的等边三角形，它描绘了一个六边形，而这个六边形又描绘了一个正方形。任务是找出正方形的边长。 例:
Input: a = 6
Output: 2.538
Input: a = 8
Output: 3.384
逼近 : 我们知道，内接在等边三角形内的六边形的边长是 h = a/3 。请参考等边三角形内可内接的最大六边形。 同样，六边形内可内接的正方形边长为 x = 1.268h 请参考六边形内可内接的最大正方形。 所以，内接在六边形内的正方形的边长依次内接在等边三角形内， x = 0.423a 。 以下是上述方法的实施:
C++
// C++ program to find the side of the largest square
// that can be inscribed within the hexagon which in return
// is incsribed within an equilateral triangle
#include <bits/stdc++.h>
using namespace std;
// Function to find the side
// of the square
float squareSide(float a)
{
// Side cannot be negative
if (a < 0)
return -1;
// side of the square
float x = 0.423 * a;
return x;
}
// Driver code
int main()
{
float a = 8;
cout << squareSide(a) << endl;
return 0;
}
Java 语言(一种计算机语言，尤用于创建网站)
// Java program to find the side of the
// largest square that can be inscribed
// within the hexagon which in return is
// incsribed within an equilateral triangle
class cfg
{
// Function to find the side
// of the square
static float squareSide(float a)
{
// Side cannot be negative
if (a < 0)
return -1;
// side of the square
float x = (0.423f * a);
return x;
}
// Driver code
public static void main(String[] args)
{
float a = 8;
System.out.println(squareSide(a));
}
}
// This code is contributed by
// Mukul Singh.
Python 3
# Python 3 program to find the side of the
# largest square that can be inscribed
# within the hexagon which in return
# is incsribed within an equilateral triangle
# Function to find the side of the square
def squareSide(a):
# Side cannot be negative
if (a < 0):
return -1
# side of the square
x = 0.423 * a
return x
# Driver code
if __name__ == '__main__':
a = 8
print(squareSide(a))
# This code is contributed by
# Sanjit_Prasad
C
// C# program to find the side of the
// largest square that can be inscribed
// within the hexagon which in return is
// incsribed within an equilateral triangle
using System;
class GFG
{
// Function to find the side
// of the square
static float squareSide(float a)
{
// Side cannot be negative
if (a < 0)
return -1;
// side of the square
float x = (0.423f * a);
return x;
}
// Driver code
public static void Main()
{
float a = 8;
Console.WriteLine(squareSide(a));
}
}
// This code is contributed by
// shs
服务器端编程语言（Professional Hypertext Preprocessor 的缩写）
<?php
// PHP program to find the side of the
// largest square that can be inscribed
// within the hexagon which in return is
// incsribed within an equilateral triangle
// Function to find the side of the square
function squareSide($a)
{
// Side cannot be negative
if ($a < 0)
return -1;
// side of the square
$x = 0.423 * $a;
return $x;
}
// Driver code
$a = 8;
echo squareSide($a);
// This code is contributed by ajit.
?>
java 描述语言
<script>
// javascript program to find the side of the
// largest square that can be inscribed
// within the hexagon which in return is
// incsribed within an equilateral triangle
// Function to find the side
// of the square
function squareSide(a)
{
// Side cannot be negative
if (a < 0)
return -1;
// side of the square
var x = (0.423 * a);
return x;
}
// Driver code
var a = 8;
document.write(squareSide(a));
// This code is contributed by Princi Singh
</script>
Output:
3.384
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