MathDB

208

Part of 1952 Moscow Mathematical Olympiad

Problems(1)

MMO 208 Moscow MO 1952 angle of touchpoints with incircle is acute

Source:

8/7/2019
The circle is inscribed in △ABC\vartriangle ABC. Let L,M,NL, M, N be the tangent points of the circle with sides AB,AC,BCAB, AC, BC, respectively. Prove that ∠MLN\angle MLN is always an acute angle.
geometryacuteanglesincircle