Ayuda en esta pregunta de Geometria, por fa : c?

(1) como al final se trazan arcos de radio igual a 2, entonces el triángulo AED es equilátero es decir AE = 2.

(2) el segmento AC es la diagonal del cuadrado : <img src="https://tex.z-dn.net/?f=AC%3D2%5Csqrt%7B2%7D" />

(3) Hallemos el segmento EC.

<img src="https://tex.z-dn.net/?f=EC%5E2%3DDE%5E2%2BDC%5E2-2%28DE%29%28DC%29%5Ccos%20%28m%5Cangle%20EDC%29%5C%5C%20%5C%5C%0AEC%5E2%3D2%5E2%2B2%5E2-2%282%29%282%29%5Ccos30%5C%C2%B0%5C%5C%20%5C%5C%0AEC%5E2%3D8-4%5Csqrt%7B3%7D%5C%5C%20%5C%5C%0AEC%3D2%5Csqrt%7B2-%5Csqrt%7B3%7D%7D" />

(4) Para hallar el área del triángulo AEC usaremos el teorema de Heron.

<img src="https://tex.z-dn.net/?f=S%3D%5Csqrt%7Bp%28p-AE%29%28p-AC%29%28p-EC%29%7D%5C%5C%20%5C%5C%0A%5Ctext%7BDonde%3A%20%7D%5C%5C%20%5C%5C%0Ap%3D%5Cdfrac%7BAE%2BAC%2BEC%7D%7B2%7D%3D%5Cdfrac%7B2%2B2%5Csqrt2%2B2%5Csqrt%7B2-%5Csqrt%7B3%7D%7D%7D%7B2%7D%5C%5C%20%5C%5C%20%5C%5C%0Ap%3D1%2B%5Csqrt%7B2%7D%2B%5Csqrt%7B2-%5Csqrt%7B3%7D%7D%5C%5C%20%5C%5C%20%5C%5C%0A%5Ctext%7BLuego%3A%7D%5C%5C%20%5C%5C%20%0Ap-AE%3D1%2B%5Csqrt%7B2%7D%2B%5Csqrt%7B2-%5Csqrt%7B3%7D%7D-2%3D%5Csqrt%7B2%7D%2B%5Csqrt%7B2-%5Csqrt%7B3%7D%7D-1%5C%5C%20%5C%5C%0Ap-AC%3D1%2B%5Csqrt%7B2%7D%2B%5Csqrt%7B2-%5Csqrt%7B3%7D%7D-2%5Csqrt%7B2%7D%3D1-%5Csqrt%7B2%7D%2B%5Csqrt%7B2-%5Csqrt%7B3%7D%7D%5C%5C%20%5C%5C%0Ap-EC%3D1%2B%5Csqrt%7B2%7D%2B%5Csqrt%7B2-%5Csqrt%7B3%7D%7D-2%5Csqrt%7B2-%5Csqrt%7B3%7D%7D%3D1%2B%5Csqrt%7B2%7D-%5Csqrt%7B2-%5Csqrt%7B3%7D%7D%5C%5C%20%5C%5C%20%5C%5C%0A%5Cboxed%7BS%3D%5Csqrt%7B4%2B2%5Csqrt3%7D%7D" />.