An Angle from a Weighted Circumcenter

★ 7/10plane geometry Inscribed Angle vectors

Problem

Let $O$ be the circumcenter of $\triangle ABC$ , with

3\overrightarrow{OA}+4\overrightarrow{OB}+5\overrightarrow{OC}=\vec 0.

Find the angle $C$ .

Answer

Solution

Difficulty	7/10
Topics	plane geometry, Inscribed Angle, vectors

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