Point inside an acute triangle
The radius of the circumcircle of the acute triangle is .
Point is inside the triangle. Is it possible that ?
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1 solution
Point P is very close to point O, the circumcenter, and intersection of the perpendicular bisectors of the sides, since the 3 distances given are virtually equal to each other, and traverse the distance from P to the circumference. If one assumes that P and O coincide, it is an ease matter to compute the triangke sides, which become 216.9, 153.4, and 190.6, with corresponding central angles of 3.08, 2.1, and 2.7, a long way from summing to 360. Ed Gray