# Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 14"

Line 7: | Line 7: | ||

---- | ---- | ||

− | *[[Mock AIME 1 2006-2007/Problem 13 | Previous Problem]] | + | *[[Mock AIME 1 2006-2007 Problems/Problem 13 | Previous Problem]] |

− | *[[Mock AIME 1 2006-2007/Problem 15 | Next Problem]] | + | *[[Mock AIME 1 2006-2007 Problems/Problem 15 | Next Problem]] |

*[[Mock AIME 1 2006-2007]] | *[[Mock AIME 1 2006-2007]] |

## Latest revision as of 14:50, 3 April 2012

## Problem

Three points , , and are fixed such that lies on segment , closer to point . Let and where and are positive integers. Construct circle with a variable radius that is tangent to at . Let be the point such that circle is the incircle of . Construct as the midpoint of . Let denote the maximum value for fixed and where . If is an integer, find the sum of all possible values of .

## Solution

*This problem needs a solution. If you have a solution for it, please help us out by adding it.*