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steposvetlana [31]
3 years ago
11

Need help please assist me find the area of a regular hexagon

Mathematics
1 answer:
garri49 [273]3 years ago
7 0

Answer:

The area of the regular hexagon is 166.3\ units^{2}

Step-by-step explanation:

we know that

The area of a regular hexagon can be divided into 6 equilateral triangles

so

step 1

Find the area of one equilateral triangle

A=\frac{1}{2}(b)(h)

we have

b=r=8\ units

h=4\sqrt{3}\ units ----> is the apothem

substitute

A=\frac{1}{2}(8)(4\sqrt{3})

A=16\sqrt{3}\ units^{2}

step 2

Find the area of 6 equilateral triangles

A=(6)16\sqrt{3}=96\sqrt{3}=166.3\ units^{2}

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Answer:

S = { (4), (5), (1,4), (1,5), (2,4), (2,5), (3,4), (3,5), (1,2,3,4), (1,2,3,5), (2,1,3,4) (2,1,3,5), (3,1,2,4), (3,1,2,5) }

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Step-by-step explanation:

Given that:

Among the three copies, (1,2,3) are the first printings, and (4,5) are the second printings.

A student who examines these books in random order stops when a second printing has been selected.

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Suppose A represents the event that we must examine exactly one book.

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A ={(4), (5)}

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What is the perimeter of the triangle (4,1) (2,5) (1,-1)
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the perimeter of the triangle=14.38

The coordinates of the triangle (4,1),(2,5),(1,-1);

In geometry, the perimeter of a shape is defined as the total length of its boundary.

The perimeter of the triangle is the sum of all the sides of the triangle =a+b+c (assuming a,b, and c are the sides of the triangle)

By using the distances formula find the length of the sides of the triangle:√[(x₂ - x₁)² + (y₂ - y₁)²],

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a=√[(4 - 2)² + (1- 5)²] = \sqrt 20=4.7

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the perimeter of the triangle=a+b+c=4.7+6.08+3.60=14.38

hence ,perimeter of the triangle=14.38

Learn more about perimeter of triangle:

brainly.com/question/23935199

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