Geometry

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  • #75183
    Khushi Sharma
    Participant

    Let D, E, F be the points of contact of the incircle of an acute-angled triangle ABC with BC, CA, AB respectively. Let I1, I2, I3 be the incentres of the triangles AF E, BDF, CED, respectively. Prove that the lines I1D, I2E, I3F are concurrent. (RMO 2014, Mumbai Region)

    #75222
    Saumik Karfa
    Moderator

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