If ABC is three sides of the triangle ABC, and ab satisfies the relation | A-3 | + B ^ 2-8b + 16 = 0, C is the minimum integer solution of the inequality system, and the shape of the triangle ABC is judged The inequality system X-1 / 3 > x + 4 of C 2x+3 | Math enthusiast | Mathematical art

If ABC is three sides of the triangle ABC, and ab satisfies the relation | A-3 | + B ^ 2-8b + 16 = 0, C is the minimum integer solution of the inequality system, and the shape of the triangle ABC is judged The inequality system X-1 / 3 > x + 4 of C 2x+3

According to the equation: A-3 = 0, B & # 178; - 8b + 16 = 0
Thus: a = 3, B = 4
According to the inequality, X ＜ - 6.5, X ＞ 2.5,
∵ the edge of a triangle must be a positive integer,
5
According to the meaning of the problem, take the smallest integer solution, x = 3, that is, C = 3
It can be seen that △ ABC is an isosceles triangle

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