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3

Part of 2013 Bosnia and Herzegovina Junior BMO TST

Problems(1)

Bosnia and Herzegovina JBMO TST 2013 Problem 3

Source: Bosnia and Herzegovina Junior Balkan Mathematical Olympiad TST 2013

9/16/2018
Let MM and NN be touching points of incircle with sides ABAB and ACAC of triangle ABCABC, and PP intersection point of line MNMN and angle bisector of ∠ABC\angle ABC. Prove that ∠BPC=90∘\angle BPC =90 ^{\circ}
geometryincircleangle bisector