Yes, any polygon can be composed using only triangles.
How can a you make a hexagon using a trapozid and 2 triangles
To form a hexagon, you would need a total of 6 triangles. Each side of the hexagon would be made up of one triangle, so when you combine all six sides, it creates a hexagon. This is because a hexagon is a polygon with six sides and six angles, and each side is made up of a single triangle.
Because all other polygons are made from triangles as for example an 8 sided octagon has 6 triangles within it or a 6 sided hexagon has 4 triangles within it.
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.
Yes, any polygon can be composed using only triangles.
How can a you make a hexagon using a trapozid and 2 triangles
You can do that by simply proving that the hexagon is a regular hexagon. You could do this by dividing the hexagon into 6 equilateral triangles of the same size successfully that tesselate to form a hexagon, thus proving that all sides are equal.
use 4 triangles, make 2 trapezoids then put them into a hexagon
To form a hexagon, you would need a total of 6 triangles. Each side of the hexagon would be made up of one triangle, so when you combine all six sides, it creates a hexagon. This is because a hexagon is a polygon with six sides and six angles, and each side is made up of a single triangle.
Because all other polygons are made from triangles as for example an 8 sided octagon has 6 triangles within it or a 6 sided hexagon has 4 triangles within it.
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.
24
If all the vertices of the regular hexagon are joined to the centre of the hexagon, 6 equilateral triangles are created: the area of the hexagon is 6 times the area of one of these triangles. If the length of the side of the hexagon is m, then the length of each of the sides of these triangles is also m. Using Pythagoras the height of these triangles can be found to be m x sqrt(3)/2. Thus the area of the hexagon = 6 x area triangle = 6 x (m x m x sqrt(3)/2) / 2 = (3/2) sqrt(3) m2 ~= 2.6 x square of length_of_side
30, its a combination. C(6,3) because there are six vertices of a hexagon and three vertices of a triangle
In a six-sided polygon (hexagon), there are a total of four triangles that can be formed. Each triangle is formed by connecting three non-adjacent vertices of the hexagon. This can be calculated using the formula n(n-3)/2, where n represents the number of sides of the polygon. So, for a hexagon, the calculation would be 6(6-3)/2 = 4 triangles.
The question does not state that it is a regular hexagon and so you may not assume that it is. Therefore, there is no simple formula because a hexagon can have very many shapes. One method would be to pick a point in the plane of the hexagon and join it to all the vertices. This divides up the hexagon into triangles. Their areas can be calculated using base and height, or three sides, or two sides and included angle - whichever you like. Finally the areas of the triangles must be combined to get the area of the hexagon.