2009 AIME I Problems/Problem 4
Problem 4
In parallelogram , point
is on
so that
and point
is on
so that
. Let
be the point of intersection of
and
. Find
.
Solution
One of the ways to solve this problem is to make this parallelogram a straight line.
So the whole length of the line (
or
), and
is
And (
or
) is
So the answer is
See also
2009 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 |