Difference between revisions of "2015 AIME I Problems/Problem 11"
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==Problem== | ==Problem== | ||
| − | Triangle <math>ABC</math> has positive integer side lengths with <math>AB=AC</math>. Let <math>I</math> be the intersection of the bisectors of <math>\angle B</math> and <math>\angle C</math>. Suppose <math>BI=8</math>. Find the smallest possible | + | Triangle <math>ABC</math> has positive integer side lengths with <math>AB=AC</math>. Let <math>I</math> be the intersection of the bisectors of <math>\angle B</math> and <math>\angle C</math>. Suppose <math>BI=8</math>. Find the smallest possible perimeter of <math>\triangle ABC</math>. |
==See Also== | ==See Also== | ||
{{AIME box|year=2015|n=I|num-b=10|num-a=12}} | {{AIME box|year=2015|n=I|num-b=10|num-a=12}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 18:55, 20 March 2015
Problem
Triangle 
has positive integer side lengths with 
. Let 
be the intersection of the bisectors of 
and 
. Suppose 
. Find the smallest possible perimeter of 
.
See Also
| 2015 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
