A Max Coefficient Sum in a Triangle

★ 7/10plane geometry Inscribed Angle Triangle Geometry Symmetry vectors

Problem

The circle $O:x^2+y^2=1$ is the circumscribed circle of $\triangle ABC$ , and $\tan A=2$ . If $\overrightarrow{AO}=x\overrightarrow{AB}+y\overrightarrow{AC}$ , find the maximum value of $x+y$ .

Answer

Solution

Difficulty	7/10
Topics	plane geometry, Inscribed Angle, Triangle Geometry, Symmetry, vectors

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