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Difference between revisions of "Talk:2013 AMC 12B Problems/Problem 25"

(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)
 
 
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Latest revision as of 18:39, 1 May 2025

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 possible values of $\frac{CD}{AB}$?The answer is in the form �rac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.

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