MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2008 Harvard-MIT Mathematics Tournament
16
Angle Maximization
Angle Maximization
Source:
April 6, 2008
analytic geometry
trigonometry
quadratics
geometry
circumcircle
algebra
quadratic formula
Problem Statement
Point
A
A
A
lies at
(
0
,
4
)
(0, 4)
(
0
,
4
)
and point
B
B
B
lies at
(
3
,
8
)
(3, 8)
(
3
,
8
)
. Find the
x
x
x
-coordinate of the point
X
X
X
on the
x
x
x
-axis maximizing
∠
A
X
B
\angle AXB
∠
A
XB
.
Back to Problems
View on AoPS