   Chapter 7.3, Problem 30E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Given regular hexagon ABCDEF with each side of length 6, find the length of diagonal A C ¯ . (Hint: With G on A C ¯ , draw B G ¯   ⊥   A C ¯ .) To determine

To find:

The length of the diagonal AC¯.

Explanation

Approach:

The measure of interior angle of regular polygon of n sides is given by (n2)180n

Calculation:

Consider the given figure.

Interior angles of regular hexagon =(62)1806=120

Therefore, ABC=120

Draw a perpendicular BG¯ from B to AC¯ at G.

BG¯ will bisect and AC¯andABC

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