Advanced Geometric Problem & Solution (Twice a week update) Now 4719 problems posted.
<Tri-224-2177>, hint
[ABC]=S, ah(a)=bh(b)=ch(c)=2S
r(a+b+c)=2S, 2R(a)>=h(a)
1/h(a)+1/h(b)+1/h(c)=1/r
Hence 1/R(a)+1/R(b)+1/R(c)=<2/r
No comments:
Post a Comment