Can someone please explain this in more detail?

You should apply the â€śCreate a Smaller Exampleâ€ť strategy here with a square or pentagon to figure out whatâ€™s going on:

For a square we can see that there:

- 1 diagonal per corner
- 4 corners

So we should have 1 * 4 = 4 diagonals.

However, a diagonal is shared between 2 corners, so we need to divide this by 2. So, a square has 2 diagonals in total.

We essentially need to do (# corners * diagonals per corner) / 2

To figure out the number of diagonals in a corner, try with some smaller examples:

Shape | # Corners/Sides | # Diagonals per corner |
---|---|---|

Square | 4 | 1 |

Pentagon | 5 | 2 |

Hexagon | 6 | 3 |

Now, try and apply it to the 12-sided shape.

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Got it thank you!!