New Home Forums Math Olympiad - IOQM Geometry Orthocentre

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  • #66919
    Crazy Gamer
    Participant

    In triangle ABC with altitudes  AD,BE and orthocentre H. find angle ABC if BH=AC

    #67246
    Shirsendu Roy
    Spectator

    since angle HBD=angle CAD

    and BH=AC

    the two right triangle triangle BHD and triangle ACD are congruent

    then HD=CD or angle HCD=45

    CH is perpendicular AB then

    angle B +angle HCD=90

    then angleB=45

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