Talk:2013 AMC 12B Problems/Problem 25
Revision as of 09:36, 24 April 2025 by Sushmitarp (talk | contribs) (Given a trapezoid with bases $AB$ and $CD$, there exists a point $E$ on $CD$ such that drawing the segments $AE$ and $BE$ partitions the trapezoid into $3$ similar isosceles triangles, each with long side twice the short side. What is the sum of all possi)
Given a trapezoid with bases 
and 
, there exists a point 
on such that drawing the segments 
and 
partitions the trapezoid into 
similar isosceles triangles, each with long side twice the short side. What is the sum of all possible values of 
?The answer is in the form �rac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.
