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Netherlands Contests
Dutch Mathematical Olympiad
1968 Dutch Mathematical Olympiad
1
1
Part of
1968 Dutch Mathematical Olympiad
Problems
(1)
min <ACP when P lies on base AB of isosceles ABC with AP/PB=1/2
Source: Netherlands - Dutch NMO 1968 p1
2/1/2023
On the base
A
B
AB
A
B
of the isosceles triangle
A
B
C
ABC
A
BC
, lies the point
P
P
P
such that
A
P
:
P
B
=
1
:
2
AP : PB = 1 : 2
A
P
:
PB
=
1
:
2
. Determine the minimum of
∠
A
C
P
\angle ACP
∠
A
CP
.
geometry
geometric inequality
isosceles
ratio