MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2000 Harvard-MIT Mathematics Tournament
3
2000 HMMT RMT Geometry # 3
2000 HMMT RMT Geometry # 3
Source:
March 3, 2024
geometry
Problem Statement
Find
P
B
PB
PB
, given that
P
A
=
15
PA = 15
P
A
=
15
,
P
C
=
20
PC = 20
PC
=
20
,
P
D
=
7
PD = 7
P
D
=
7
, and
A
B
C
D
ABCD
A
BC
D
is a square. https://cdn.artofproblemsolving.com/attachments/7/a/cc5bf99986fea1cd75e57fe1117a4d04d3eae3.png
Back to Problems
View on AoPS