A trigonometry problem by neel

Geometry Level 4

Let A , B A,B and C C be the angles of a triangle A B C ABC . If sin ⁡ 2 A + sin ⁡ 2 B + sin ⁡ 2 C = 1 \sin^2 A + \sin^2 B + \sin^2 C = 1 , then which of the following is true?

The incircle cuts the circumcircle orthogonally The nine point circle cuts the circumcircle orthogonally None of these

A Former Brilliant Member by A Former Brilliant Member

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1 solution

first part of the solution is below------

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