What is the length of the apothem of a regular hexagon with 10-cm sides? If necessary, round to the * nearest tenth*

A) about 5.0 cm

B) about 2.9 cm

C) about 8.7 cm

D) about 9.7 cm

C

Step-by-step explanation:

10 : [2 tan (180/6) ]

5sqrt (3)

8.66

About 8.7cm

Apothem=8.7cm - - - answer C)

Step-by-step explanation:

The regular hexagon has 6 equal sides. The hexagon consists of 6 equal equilateral triangles, of side l=10cm.

Thus, the apothem of a regular hexagon is the height in that equilateral triangle, that can be computed with:

h=l/2*sqrt (3) = 10/2*1.73=5*sqrt (3) = 8.66cm.

Rounding to the tenth: 8.7cm