MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2023 Harvard-MIT Mathematics Tournament
3
2023 Geometry #3
2023 Geometry #3
Source:
April 12, 2023
Problem Statement
Suppose
A
B
C
D
ABCD
A
BC
D
is a rectangle whose diagonals meet at
E
E
E
. The perimeter of triangle
A
B
E
ABE
A
BE
is
10
π
10\pi
10
π
and the perimeter of triangle
A
D
E
ADE
A
D
E
is
n
n
n
. Compute the number of possible integer values of
n
n
n
.
Back to Problems
View on AoPS