Question 2

PQR is an acute scalene triangle. The altitude PL and the bisector RK of $$\angle QRP$$ meet at H, with L on QR and K on PQ. KM is the altitude of triangle PKR and it meets PL at N. The circumcircle of $$\triangle NKR$$ meets QR at S other than R. Prove that SHK is an isosceles triangle.


Correct Answer: 0

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