A Sliding Right Triangle's Locus

★ 8/10Inscribed Angle Circles analytic geometry

Problem

Three moving points $A,B,C$ are arranged clockwise, with $A$ on the $x$ -axis and $B$ on the $y$ -axis, and

AB=5,\qquad BC=4,\qquad CA=3.

Find the equation of the locus of the point $C$ .

Answer

Solution

Difficulty	8/10
Topics	Inscribed Angle, Circles, analytic geometry

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