if in triangle ABC, H, I,O have usual notations, show that AI BISECTS ANGLE HAO

PROOF
AO=OC
/*AOC=2/*ABC
/*OAC=90-/*ABC
/_BAD=90-ABD=90-ABC
SO OAC=BAD
& WE HAVE BAI = IAC
SO
FROM THESE 2 OBSERVATIONS WE GET HAI =IAO
SO AI BISECTS HAO

AND WE ARE DONE

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TopNewesti don't know about the h,i,o in triangle as usual notation? please make some construction.

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Good ! Didn't know this property. Thanks

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