# centers of triangles

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

Note by Nitish Deshpande
3 years, 4 months ago

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

- 2 years, 5 months ago

Good ! Didn't know this property. Thanks

- 3 years, 3 months ago