A hexagon as shown in a figure below is divided into four triangles in the inside like an <Example> below by a diagonal line which does not cross one another.
How many ways of method of the division is there in total ?
How many ways of method of the division is there in total ?
Answer
There are six ways with the pattern which draw diagonal line of Z figure (including inside-out of Z) and divide the inside of a hexagon.
There are two ways with the pattern which create a triangle connecting three vertex every other by drawing diagonal lines.
In total there are 14 ways.
14 ways
Solution
There are six ways with the pattern which draw and divide by three diagonal lines from one vertex like example.
There are six ways with the pattern which draw diagonal line of Z figure (including inside-out of Z) and divide the inside of a hexagon.
There are two ways with the pattern which create a triangle connecting three vertex every other by drawing diagonal lines.
In total there are 14 ways.
