2018 AMC 10B Problems/Problem 24: Difference between revisions
Created page with "(This is not the exact wording of the question) 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..." |
Giraffefun (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
(This is not the exact wording of the question) | (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 | 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
