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Bulgaria Contests
Bulgaria National Olympiad
1978 Bulgaria National Olympiad
Problem 6
Problem 6
Part of
1978 Bulgaria National Olympiad
Problems
(1)
5-gon pyramid, longest edge inequality
Source: Bulgaria 1978 P6
6/17/2021
The base of the pyramid with vertex
S
S
S
is a pentagon
A
B
C
D
E
ABCDE
A
BC
D
E
for which
B
C
>
D
E
BC>DE
BC
>
D
E
and
A
B
>
C
D
AB>CD
A
B
>
C
D
. If
A
S
AS
A
S
is the longest edge of the pyramid prove that
B
S
>
C
S
BS>CS
BS
>
CS
.Jordan Tabov
geometry
3D geometry
pyramid
inequalities
Geometric Inequalities