Difference between revisions of "2001 AIME I Problems/Problem 7"
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== Problem == | == Problem == | ||
| + | Triangle <math>ABC</math> has <math>AB=21</math>, <math>AC=22</math> and <math>BC=20</math>. Points <math>D</math> and <math>E</math> are located on <math>\overline{AB}</math> and <math>\overline{AC}</math>, respectively, such that <math>\overline{DE}</math> is parallel to <math>\overline{BC}</math> and contains the center of the inscribed circle of triangle <math>ABC</math>. Then <math>DE=m/n</math>, where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m+n</math>. | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=2001|n=I|num-b=6|num-a=8}} | |
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Revision as of 23:22, 19 November 2007
Problem
Triangle 
has 
, 
and 
. Points 
and 
are located on 
and 
, respectively, such that 
is parallel to 
and contains the center of the inscribed circle of triangle . Then 
, where 
and 
are relatively prime positive integers. Find 
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 2001 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
