1957 AMC 12 Question 26
AMC12 · 1957 AMC 12
From a point within a triangle, line segments are drawn to the vertices. A necessary and sufficient condition that the three triangles thus formed have equal areas is that the point be:
the center of the inscribed circle
the center of the circumscribed circle
such that the three angles formed at the point each be
$120^\circ$
the intersection of the altitudes of the triangle
the intersection of the medians of the
triangle