14.1.7. Question Number 12

Try these first

1. 1.

   Calculate the number of diagonals in a triangle.

   Hint

   Use the formula for n = 3.

2. 2.

   How many diagonals does a square have?

   Hint

   Use the formula for n = 4.

3. 3.

   How many diagonals does a triangle have?

   • 1
   • 0
   • 3

   Hint

   Think of how many non-adjacent vertices you can connect.

4. 4.

   What is the formula for finding diagonals in an n-sided polygon?

   Hint

   Relate to how connections form through vertices.

5. 5.

   If you have a 10-sided polygon, verify how many diagonals exist using the formula.

   Hint

   Calculate stepwise to ensure understanding.

6. 6.

   Create your own polygon and verify if the formula applies — does it hold for irregular shapes?

   Hint

   Sketch your irregular polygon and analyze the connections.