By showing him how to do it.
18
The answer would be 18.
Look at it the other way. Draw a hexagon, and draw two horizontal lines, in each case from one vertex to another one. That way you'll see how to divide the hexagon into a rectangle (not necessarily a square), and two triangles - which, of course, you can combine again to form the hexagon.
Draw lines from point to point and now you have six triangles to calculate
4.
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."
Trapeziods, Triangles, and Rhombuses.
A hexagon is a six-sided figure. Cut an equilateral triangle out of a piece of paper. Chop off little equilateral triangles at each tip of the triangle. What you have is a hexagonal piece of paper. Draw around it.
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.
To determine the number of triangles in a star inside a hexagon, we need to consider the number of triangles formed by the lines connecting the vertices of the hexagon and the points where the lines of the star intersect. Each intersection point forms a triangle with two adjacent vertices of the hexagon. Therefore, if the star has n points of intersection, the total number of triangles would be n multiplied by 2. Additionally, we need to consider the triangles formed by the lines of the star itself, which would add n triangles to the total count. So, the total number of triangles in a star inside a hexagon would be 3n.
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.
Oh, what a lovely question! To divide a hexagon into 6 equal parts, simply draw lines from each corner of the hexagon to the center. This will create 6 equal triangles within the hexagon, each with the same size and shape. Remember, there are many ways to divide and create beauty in this world, just like there are many ways to divide a hexagon!