Question

PLEASE HELP!! A regular hexagon is shown. What is the measure of half the side length, b, rounded to the nearest whole inch? Use the appropriate trigonometric ratio to solve. A.) 6in B.) 7in C.) 14in D.) 24in

Answer 1

B.) 7 in

Explanation:

A regular hexagon can be divided into 6 congruent equilateral triangle. The measure of an angle of an equilateral triangle is 60 deg. The angle formed by sides b and c measures 60 deg.

tan A = opp/adj

tan 60 deg = 12/b

b * tan 60 deg = 12

b = 12/(tan 60 deg)

b = 7 in