What is the largest square that can be inscribed in an equilateral triangle?

Here we will see the area of ​​the largest square that can be inscribed in an equilateral triangle. The side length of the triangle is 'a' and the side length of the square is x.

The side length 'a' of the triangle is −

so x is −

Example

#include <iostream>
#include <cmath>
using namespace std;
float areaSquare(float a) { //a is side of triangle
   if (a < 0 ) //if a is negative, then this is invalid
      return -1;
   float area = a / (1 + 2/sqrt(3));
   return area;
}
int main() {
   float a = 7;
   cout << "Area of Rectangle: " << areaSquare(a);
}

Output

Area of Rectangle: 3.24871

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