We know that a triangle with three sides a, B and C satisfies the condition that a square plus b square plus C square equals AB + BC + AC

Known
a²+b²+c²=ab+bc+ac
2(a² + b² + c²)=2(ab + bc + ac)
a² -2ab+ b² + b² - 2bc + c² + a² -2ac + c² = 0
(a - b)² + (b - c)² +(a - c)² = 0
a = b,b = c,a = c
So a = b = C
So a triangle is an equilateral triangle

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