Question

The given figure is a regular hexagon with side length 12 and radius 10. Find the length of the apothem a. Question 16 options: A) 15.6 B) 8 C) 12 D) 9

Answer 1

Answer:

B)  8

Step-by-step explanation:

a regular hexagon with side length 12 and radius 10.

 the length of the apothem

to get the length of the apothem, use the Pythagorean theorem.

a² + b² = c²

let a = 6, b = apothem, c = 10

plugin values into the formula

6² + b² = 10²

b² = 10² - 6²

b =  √(100 - 64)

b = 8

Answer 2

Answer:

the length of the apothem is 8, option B

Step-by-step explanation:

given:

a regular hexagon with side length 12 and radius 10.

find;

the length of the apothem

referring to the attached image,

to get the length of the apothem, use the Pythagorean theorem.

a² + b² = c²

let a = 6, b = apothem, c = 10

plugin values into the formula

6² + b² = 10²

b² = 10² - 6²

b = $\sqrt{100 - 36}$

b = $\sqrt{64}$

b = 8

therefore,

the length of the apothem is 8, option B