**How Many Triangles Are In A Pentagram**

### How many triangles does a stick have?

There are two ways to do this, one through calculation and the other through communication. If you are just looking for the answer then the number is 35.

If you are a teacher looking for a job, you need to use a communicator.

Let's see what a pentagram is. To create a pentagram, you have five points where the peak is on the pentagram. Then draw a line connecting each point. The number of lines is 4 + 3 + 2 + 1 or 10.

Each triangle requires three lines.

Now, if you just look at the combination of 3 lines that you can get from 10 lines, you get 120 triangles (10 C 3). Unfortunately, that didn't work. Most three-line commas do not form a triangle.

It took a while to think about it, but what if you only chose two lines?

Let's say you have a Pentagon with A, B, C, D and E at the top.

Draw a line from A to B, then the rest of the line from B to C. is there, connecting the two.

The number of combinations of two lines is clearly 10 C2 or 45.

However, there are duplicates. You see, for example, if you go from A to C and then from C to B, you get duplicates. The number of duplicates is 10 C 1 or 10 Subtract tse and you have 35 triangles.

For example, help!

Pentagon or Hanging = 5 If you draw a line from the center to each peak, you get 10 triangles.

Hmmm.