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    Been struggling with this question for quite a few hours now, probably overlooked something incredibly simple, would appreciate help

    Triangle ABC with in-center I is such that angle A = 2pi/3

    The angle bisectors of A, B and C meet the opposite sides at the points D, E and F respectively.

    The line DF meets BE at the point G

    Is triangle IGH always an isosceles triangle?
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    (Original post by imsoanonymous123)
    Been struggling with this question for quite a few hours now, probably overlooked something incredibly simple, would appreciate help

    Triangle ABC with in-center I is such that angle A = 2pi/3

    The angle bisectors of A, B and C meet the opposite sides at the points D, E and F respectively.

    The line DF meets BE at the point G

    Is triangle IGH always an isosceles triangle?
    Is the answer not fairly obvious with a good diagram? Mine says no.

    Make sure to draw a good diagram, there is something very important in there that you may be able to spot... (I've done this q before)
 
 
 
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Updated: September 13, 2015
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