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How can you use triangles to find the area of the hexagon?

Anonymous

∙ 13y ago

Updated: 12/16/2022

the edges

Wiki User

∙ 13y ago

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Q: How can you use triangles to find the area of the hexagon?

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What shapes can you use to create a hexagon?

6 triangles

How do you use 1 hexagon and 3 triangles to make a large triangle?

To create a large triangle using one hexagon and three triangles, first, position the hexagon so that one of its sides is aligned horizontally. Then, place the three triangles around the hexagon, with their bases aligned with the hexagon's sides, forming an outward-facing triangle shape. Ensure that the points of the triangles reach outward to complete the larger triangle's vertices. Adjust the positioning to ensure all shapes fit together seamlessly, creating a cohesive larger triangle.

What is the size of one angle in a hexagon?

In a regular hexagon in which the angles are congruent you can use a formula. ((6-2)*180)/6 120 degrees. The reason this works is that you can draw 4 diagonals inside the hexagon and triangles have 180 degrees each.

How do you find the area of a rectangle when one diagonal is given?

Divide the rectangle in two triangles and then use the pythagorean theorem to find the remaining sides.

What is the area of a hexagon with side length of 10?

To calculate the area of a regular hexagon, you can use the formula: Area = (3√3 × side length²)/2. Substituting the value of the side length given, the area of a hexagon with a side length of 10 is (3√3 × 10²)/2 = 150√3. Therefore, the area is approximately 259.81 square units.

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Related Questions

How can you use triangles to figure out the area of a hextagon?

If you Google "area of a hexagon," you'll find quite a few websites with illustrations that will explain this better than I can without them. If you draw three diagonals from opposite corners of the hexagon, you will notice that the hexagon has been divided into six equilateral triangles. If you then draw six lines from the center to the midpoint of each side, you will have created twelve equal right triangles and can find the area of each by taking half of the base (which is half of a side) times the height. Multiply that by 12 and you have the area of the hexagon. The height of each triangle is the line you drew from the center to the middle of the side. This is known as an "apothem."

What shapes can you use to create a hexagon?

6 triangles

How do you make a hexagon using 4 shapes?

use 4 triangles, make 2 trapezoids then put them into a hexagon

How do you find aras of triangles and parallelograms?

Triangles you use : (base x perpendicular height) divided by 2. Parallelogram: you need to find the area of one of the side triangles, then double it (because there's two of them). Then find the area of the square in the middle, and add this to the area of the two triangles.

What is the area of a regular hexagon if a side is 30?

The area is about 2338.27 square units, from the formulaA = 3/2 (sqrt 3) s2 or about 2.598 s2--Let's draw a segment from the center of the hexagon to the middle of a side. This segment is called the apothem. Then use the 30-60-90 triangle rule. If half of a side is 15, that means the apothem is 15√3.If we divide the hexagon into equilateral triangles, we get 6 equilateral triangles.So if we find the area for one of these triangles and multiply it by 6, we get the area of the hexagon. The area of a triangle is found by 1/2(b*h). The apothem is your height for the triangles. So plug the numbers in: 1/2(30*15√3). Solve: 1/2(779.4228) = 389.7114. This is the area of one triangle. Now we multiply by 6, and this becomes: 2338.2686

Area of a reagular hexagon if each side is 11m the apothem is 9 and radius 10?

We don't need the measure of the radius since we know the measure length of the side and of the apothem, which we use to find the area of one of the triangles that are formed by connecting the center with the vertices of the hexagon. So, A = 6[(1/2)(11 x 9)] = 297 m2

What is the size of one angle in a hexagon?

In a regular hexagon in which the angles are congruent you can use a formula. ((6-2)*180)/6 120 degrees. The reason this works is that you can draw 4 diagonals inside the hexagon and triangles have 180 degrees each.

How do you find the area of a rectangle when one diagonal is given?

Divide the rectangle in two triangles and then use the pythagorean theorem to find the remaining sides.

How do you make a 5 piece tangram hexagon?

All you have to use is the five triangles. The two large triangles make a square in the middle, the two small triangles make a large triangle on one side and the middle triangle on the other side.

Find the area of a regular hexagon inscribed in a circle of radius 12 cm?

You would have to use a couple of formulas to do this. It would basically be 374.4 cm in area but first you would have to find the base and the height.

What is the area of a hexagon with side length of 10?

To calculate the area of a regular hexagon, you can use the formula: Area = (3√3 × side length²)/2. Substituting the value of the side length given, the area of a hexagon with a side length of 10 is (3√3 × 10²)/2 = 150√3. Therefore, the area is approximately 259.81 square units.

How can you use triangles to find the area of circle?

If you draw your triangles using the centre of the circle as one vertex and two more on the circumference, the area of the circle is approximately equal to the sum of the areas of the triangles; the smaller you make the triangles, the more accurate your result will be.

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