A Rotated Apex Locus

★ 7/10plane geometry Law of Sines analytic geometry Triangle Geometry

Problem

Let $A(0, 6)$ , let $B$ move along the $x$ -axis, and let $C$ be a point of the plane with

\angle ACB = 120^\circ, \qquad CA = CB.

Find the minimum possible length of segment $OC$ , where $O$ is the origin.

Answer

Solution

Difficulty	7/10
Topics	plane geometry, Law of Sines, analytic geometry, Triangle Geometry

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