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National and Regional Contests
Paraguay Contests
Paraguay Mathematical Olympiad
2002 Paraguay Mathematical Olympiad
5
5
Part of
2002 Paraguay Mathematical Olympiad
Problems
(1)
computational in right trapezoid - OMAPA Paraguay 2002.5
Source:
9/13/2021
In a trapezoid
A
B
C
D
ABCD
A
BC
D
, the side
D
A
DA
D
A
is perpendicular to the bases
A
B
AB
A
B
and
C
D
CD
C
D
. Also
A
B
=
45
AB=45
A
B
=
45
,
C
D
=
20
CD =20
C
D
=
20
,
B
C
=
65
BC =65
BC
=
65
. Let
P
P
P
be a point on the side
B
C
BC
BC
such that
B
P
=
45
BP=45
BP
=
45
and let
M
M
M
be the midpoint of
D
A
DA
D
A
. Calculate the length of
P
M
PM
PM
.
trapezoid
geometry