By extending Euclid’s construction of a triangle construct A regular hexagon (create a proof similar in style to Euclid) A tiling of the plane by equlilateral triangles (figure 1.5)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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By extending Euclid’s construction of a triangle construct

  • A regular hexagon (create a proof similar in style to Euclid)
  • A tiling of the plane by equlilateral triangles (figure 1.5)
Expert Solution
Step 1: Given

We know about a regular hexagon that can help us for this construction?

Ans- They are made 6 equilateral triangles Build an equilateral triangle off of the side given.

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