Use the rectangle hexagon with side length 10 meters to fill in the missing information

Step-by-step explanation:

Regular Hexagon

For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.

We know that x is half the length of the side length of the hexagon. Thus

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

Now we have , the height of the triangle y is easily found by

Solving for y

The value of z can be found by using

The area of the triangle is

The area of the hexagon is 12 times the area of the triangle, thus

m a t h w a y. c o m

step-by-step explanation:

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