Las coordenadas A (0 ; 2√2), B (2√2 ; 0) y C (x ; y) son los vértices de un triángulo equilátero, calcule las coordenadas del vértice C sabiendo que pertenece al I cuadrante.
En resumen
<img src="https://tex.z-dn.net/?
<img src="https://tex.z-dn.net/?f=%5Ctextsf%7BSabemos%20que%20en%20un%20triangulo%20equilatero%2C%20los%20lados%20son%20iguales%7D%5C%5C%20%5Ctextsf%7BComo%20las%20coordenadas%20son%3A%7D%5C%5C%20P_%7B1%7D%3D%280%2C2%5Csqrt%7B2%7D%29%5C%5C%20P_%7B2%7D%3D%282%5Csqrt%7B2%7D%2C0%29%5C%5C%20%5Ctextsf%7BAplicando%20la%20f%C3%B3rmula%20de%20la%20distancia%20entre%20P_%7B1%7D%20y%20P_%7B2%7D%7D%5C%5C" /><img src="https://tex.z-dn.net/?f=%5Ctextsf%7BSabemos%20que%20en%20un%20triangulo%20equilatero%2C%20los%20lados%20son%20iguales%7D%5C%5C%20%5Ctextsf%7BComo%20las%20coordenadas%20son%3A%7D%5C%5C%20P_%7B1%7D%3D%280%2C2%5Csqrt%7B2%7D%29%5C%5C%20P_%7B2%7D%3D%282%5Csqrt%7B2%7D%2C0%29%5C%5C%20%5Ctextsf%7BAplicando%20la%20f%C3%B3rmula%20de%20la%20distancia%20entre%20P_%7B1%7D%20y%20P_%7B2%7D%7D%5C%5C" /><img src="https://tex.z-dn.net/?f=%5Csqrt%7B%282%5Csqrt%7B2%7D-0%29%5E%7B2%7D%2B%280-2%5Csqrt%7B2%7D%29%5E%7B2%7D%7D%3D%5C%5C%20%5Csqrt%7B8%2B8%7D%3D%5C%2C%5Csqrt%7B16%7D%3D%5C%2C4%5C%5C%20%5Ctextsf%7BComo%20d%3D4%2C%20obtengamos%20la%20distancia%20entre%20P_%7B3%7D%20y%20P_%7B1%7D%7D%5C%5C%20" /><img src="https://tex.z-dn.net/?f=%5Csqrt%7B%282%5Csqrt%7B2%7D-0%29%5E%7B2%7D%2B%280-2%5Csqrt%7B2%7D%29%5E%7B2%7D%7D%3D%5C%5C%20%5Csqrt%7B8%2B8%7D%3D%5C%2C%5Csqrt%7B16%7D%3D%5C%2C4%5C%5C%20%5Ctextsf%7BComo%20d%3D4%2C%20obtengamos%20la%20distancia%20entre%20P_%7B3%7D%20y%20P_%7B1%7D%7D%5C%5C%20" />.