contestada

The base of a regular pyramid is a hexagon. The figure shows a regular hexagon with center C. An apothem is shown as a dashed segment perpendicular to an edge and is labeled as a. A dashed line segment joins the center with the left vertex of the edge perpendicular to the apothem. This segment has a length of 8 centimeters. The angle formed by the edge and the segment measure 60 degrees. What is the area of the base of the pyramid? Enter your answer in the box. Express your answer in radical form.

Respuesta :

Answer: 96√3

Step-by-step explanation:

i just took the test, and the other answer on this question confused me and I put 3√96 and got it wrong but the correct answer is 96√3

Ver imagen 23hannahfugate

The area of the base of the pyramid which is a hexagon with given parameters is; 96√3

How to find the area of a Polygon?

We are told that the base of the pyramid is a hexagon.

Now, from the given image we can find the base length of the right angle triangle from trigonometric ratio which is;

x/8 = cos 60°

x = 8 cos 60°

x = 4

Thus, length of side of hexagon is;

s = 4 * 2

s = 8

Formula for area of hexagon is given by;

A = ((3√3) * s²)/2

Where;

s is length of a side of hexagon

A = ((3√3) * 8²)/2

A = 96√3

Read more about Polygon area at; https://brainly.com/question/8409681