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An interesting Geometry problem

Let \(ABC\) be an acute triangle.

Let \(P\) be the foot of the altitude from \(A\) to \(BC\).

Let \(O\) be the circumcenter of \(\bigtriangleup{ABC}\).

Prove that if \(\angle{BCA}\geq\angle{ABC}+30^{\circ}\),

\[\angle{BAC}+\angle{COP}<90^{\circ}.\]

Note by Yuxuan Seah
3 years ago

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