Not Easy

Geometry Level pending

Suppose excircle triangle \(ABC \) opposite point \(A \) offending side \(BC \) at point \(A_1\). Defined point \(B_1\) on \(CA\) and \(C_1\) point on \(AB\) analog, respectively using excircles opposite \(B\) and \(C\). Suppose that the center point of the circle outside the triangle \(A_1B_1C_1\) are in the outer circle of the triangle \(ABC\). triangle \(ABC\) is a/an \(\text{__________} \).

Note:

Excircle triangle ABC opposite the vertex A is the circle of the offensive line segment BC, AB, after the offending beam B, offensive rays after C. Excircle AC at odds with defi ned B and C are similar.

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