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Netherlands Contests
Dutch Mathematical Olympiad
1964 Dutch Mathematical Olympiad
1
1
Part of
1964 Dutch Mathematical Olympiad
Problems
(1)
point construction, trapezoid with diagonals of 60^o
Source: Netherlands - Dutch NMO 1964 p1
1/31/2023
Given a triangle
A
B
C
ABC
A
BC
,
∠
C
=
6
0
o
\angle C= 60^o
∠
C
=
6
0
o
. Construct a point
P
P
P
on the side
A
C
AC
A
C
and a point
Q
Q
Q
on side
B
C
BC
BC
such that
A
B
Q
P
ABQP
A
BQP
is a trapezoid whose diagonals make an angle of
6
0
o
60^o
6
0
o
with each other.
geometry
trapezoid
construction