Difference between revisions of "2018 AMC 10B Problems/Problem 24"

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==Problem==
 
==Problem==
  

Revision as of 16:03, 16 February 2018

Problem

Let ABCDEFG be a regular hexagon with side length 1. Denote X, Y, and Z the midpoints of sides (segment) AB, (segment) CD, and (segment) EF, respectively. What is the area of the convex hexagon whose interior is the intersection of the interiors of (insert) triangle symbol) ACE and (insert triangle symbol) XYZ?


Answer: 15sqrt(3)/32