No, the height of a triangle and the bisector of an angle are completely different concepts. The height of a triangle is a line, a perpendicular, dropped from the apex of the triangle to its base. The height of the triangle coincides with the bisector of the angle of the apex of the triangle only if the triangle is isosceles (one of its special cases is an equilateral triangle). In this case, the height divides the angle of the apex of the triangle in half, that is, it is its bisector.
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