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National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2013 India PRMO
8
8
Part of
2013 India PRMO
Problems
(1)
2013 preRMO p8, computational geometry with a trapezium
Source:
8/8/2019
Let
A
D
AD
A
D
and
B
C
BC
BC
be the parallel sides of a trapezium
A
B
C
D
ABCD
A
BC
D
. Let
P
P
P
and
Q
Q
Q
be the midpoints of the diagonals
A
C
AC
A
C
and
B
D
BD
B
D
. If
A
D
=
16
AD = 16
A
D
=
16
and
B
C
=
20
BC = 20
BC
=
20
, what is the length of
P
Q
PQ
PQ
?
geometry
trapezium
trapezoid