Orthic Triangle and Angle Bisector
Firstly, it's really hard to enter a "descriptive title" for this, but that's beside the point (Giggle)
Anyways, here's the problem I have:
If
,
and
are altitudes of triangle
, and
and
are points on
and
respectively such that
, prove that
bisects
.
I've done substantial angle chasing with the orthic triangle, but I can't seem to prove that it is an angle bisector. I've used only 2 pronumerals for angles:
for
and
for
and I'm trying to prove
is also
. Is this the correct/ a good approach? If not, what'd be better? Some hints would do fine, all I've got atm is a huge bunch of angle chasing rubbish (Doh)