2001 AIME I Problems/Problem 4
Problem
In triangle , angles
and
measure
degrees and
degrees, respectively. The bisector of angle
intersects
at
, and
. The area of triangle
can be written in the form
, where
,
, and
are positive integers, and
is not divisible by the square of any prime. Find
.
See also
2001 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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