If a, B and C are the three sides of triangle ABC, and 3 (a square + b square + C Square) = (a + B + C) square, judge the shape of triangle ABC?

If a, B and C are the three sides of triangle ABC, and 3 (a square + b square + C Square) = (a + B + C) square, judge the shape of triangle ABC?

3(a²+b²+c²)=(a+b+c)²3a²+3b²+3c²=a²+b²+c²+2ab+2ac+2bc2a²+2b²+2c²=2ab+2ac+2bc(a²+b²-2ab)+(b²+c²-2bc)+(a²+c²...