2004 AMC 12A Problems/Problem 12
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Problem
Let 
and 
. Points 
and 
are on the line 
, and 
and 
intersect at 
. What is the length of 
?
Solution
The equation of can be found using points 
to be 
. Similarily, has the equation 
. These two equations intersect the line 
at 
and 
. Using the distance formula or 
right triangles, the answer is 
.
See also
| 2004 AMC 12A (Problems • Resources) | ||
| Preceded by Problem 11 | Followed by Problem 13 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
