To find: The reason that when two sides of the regular hexagon are extended to meet at a point in the exterior of the
Answer to Problem 51HP
The triangle formed when two sides of the regular hexagon are extended to meet at a point in the exterior of the polygon are equilateral.
Explanation of Solution
Consider a hexagon
Now, extend the side PV and ST.
Let is meets the points at U.
Here the interior
Thus, there exterior angle
Therefore, since.
Thus,
Hence, the triangle formed when two sides of the regular hexagon are extended to meet at a point in the exterior of the polygon are equilateral.
Chapter 6 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Fundamentals of Statistics (5th Edition)
Elementary Statistics
Introductory Statistics
University Calculus: Early Transcendentals (3rd Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning