Difference between revisions of "2018 AMC 10B Problems/Problem 24"
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(This is not the exact wording of the question) | (This is not the exact wording of the question) | ||
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Given regular hexagon ABCDEF with side length 1, define X to be the midpoint of side AB, Y to be the midpoint of side CD, and Z to be the midpoint of side EF, as shown. What is the area of the hexagon formed by the intersection of triangles ACE and XYZ | Given regular hexagon ABCDEF with side length 1, define X to be the midpoint of side AB, Y to be the midpoint of side CD, and Z to be the midpoint of side EF, as shown. What is the area of the hexagon formed by the intersection of triangles ACE and XYZ | ||
Revision as of 14:57, 16 February 2018
(This is not the exact wording of the question)
Problem
Given regular hexagon ABCDEF with side length 1, define X to be the midpoint of side AB, Y to be the midpoint of side CD, and Z to be the midpoint of side EF, as shown. What is the area of the hexagon formed by the intersection of triangles ACE and XYZ
choices?
Answer: 15sqrt(3)/32
