MathDB

2013 preRMO p8, computational geometry with a trapezium

Source:

August 8, 2019

geometrytrapeziumtrapezoid

Problem Statement

Let

AD

and

BC

be the parallel sides of a trapezium

ABCD

. Let

P

and

Q

be the midpoints of the diagonals

AC

and

BD

. If

AD = 16

and

BC = 20

, what is the length of

PQ