Question

A regular pentagon is shown.

What is the length of the apothem, rounded to the nearest tenth?

A. 2.9 cm

B. 3.3 cm

C. 4.9 cm

D. 6.5 cm

Answer 1

d

Explanation:

because i said so brudda

Answer 2

we know that

in the right triangle ABC (see the attached figure with letters to better understand the problem)

`AB=8\ cm \\\\ BC=(9.4)/(2)=4.7\ cm`

Applying the Pythagorean Theorem

`AB^(2) =BC^(2)+AC^(2)\\ AC^(2)=AB^(2)-BC^(2)\\ AC^(2)=8^(2)-4.7^(2)\\ AC^(2)=41.91\\ AC=6.47\ cm`

`AC=6.5\ cm`

therefore

the answer is

the length of the apothem is equal to
`6.5\ cm`