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Can a hexagon be composed using triangles?
Yes, any polygon can be composed using only triangles.
Can a triangle and a trapezoid make a hexagon?
How can a you make a hexagon using a trapozid and 2 triangles
What is the reason for using all triangles?
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.
How do you work out the area a regular hexagon?
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
Can you make a square without using any triangles from a tangram?
no because it has to be all equal and right angles
Can a hexagon be composed using triangles?
Yes, any polygon can be composed using only triangles.
Can a triangle and a trapezoid make a hexagon?
How can a you make a hexagon using a trapozid and 2 triangles
How can you show that all sides and angles of a hexagon are congruent without using a ruler or a protractor?
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.
How do you make a hexagon using 4 shapes?
use 4 triangles, make 2 trapezoids then put them into a hexagon
What is the reason for using all triangles?
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.
How many triangles can you have inside a hexagon if you connect all corners to each other using straight lines?
24
How do you work out the area a regular hexagon?
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
How many different triangles can be formed using three vertices of a hexagon as vertices of a triangle?
30, its a combination. C(6,3) because there are six vertices of a hexagon and three vertices of a triangle
Formula for area of a hexagon?
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.
What is the length of the apothem of a regular hexagon with 10 cm sides?
The hexagon will consist of 6 equilateral triangles of 3 equal sides of 10 cm and the apothem will divide the triangle into 2 right angle triangles with a base of 5 and an hypotenuse of 10 and so by using Pythagoras' theorem the height of the triangle which is the apothem works out as 5 times square root of 3 or about 8.66 cm rounded to 2 decimal places.
How would you write a formula for the perimeter of a regular hexagon using the length of a side?
A regular hexagon is a shape that has 6 equal sides. x = length of a side 6x = perimeter of hexagon pond
Can you make a square without using any triangles from a tangram?
no because it has to be all equal and right angles
