Y by PikaPika999
Determine the lengths of the edges of a right tetrahedron of volume 
so that the sum of its edges' lengths is minumum.
so that the sum of its edges' lengths is minumum.G
Topic
First Poster
Last Poster
A Segment Bisection Problem
buratinogigle 2
N
by aidenkim119
Source: VN Math Olympiad For High School Students P9 - 2025
In triangle 
, let the incircle 
touch sides 
at 
, respectively. Let 
lie on the line through 
perpendicular to 
. Let 
be the intersections of 
with 
, respectively. Let 
be the projections of 
onto line . Let 
be the second intersections of 
with the incircle . Let 
be the intersection of 
and 
. Prove that the line 
bisects segment 
.
, let the incircle 
touch sides 
at 
, respectively. Let 
lie on the line through 
perpendicular to 
. Let 
be the intersections of 
with 
, respectively. Let 
be the projections of 
onto line . Let 
be the second intersections of 
with the incircle . Let 
be the intersection of 
and 
. Prove that the line 
bisects segment 
.
2 replies
+1 wNo more topics!
Right tetrahedron of fixed volume and min perimeter
G
H
G
H
Source: Romanian IMO TST 1981, Day 4 P3
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
N Quick Reply
G
H
