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Swedish Mathematical Competition
1964 Swedish Mathematical Competition
1
1
Part of
1964 Swedish Mathematical Competition
Problems
(1)
min side BC wanted for fixed area S and angle <A in triangle ABC
Source: 1964 Swedish Mathematical Competition p1
3/21/2021
Find the side lengths of the triangle
A
B
C
ABC
A
BC
with area
S
S
S
and
∠
B
A
C
=
x
\angle BAC = x
∠
B
A
C
=
x
such that the side
B
C
BC
BC
is as short as possible.
geometry
min
Geometric Inequalities