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How many triangles are formed..... read the details?

How many triangles are formed by drawing all of the diagonals from a single vertex of a polygon with each number of sides? How many diagonals can be drawn from a single vertex, in each case?

the following number of triangles are located here

1. 9 triangles

2. 12 Triangles

3. 19 triangles

4. 120 Triangles

2 Answers

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  • Anonymous
    10 years ago
    Favorite Answer

    I don't completely understand your question, as you seem to be giving the answers. But the number of triangles will always be 2 less than the number of sides. The number of diagonals will be 3 less than the number of sides.

    1. 9 triangles - 11 sides, 8 diagonals.

    2. 12 Triangles - 14 sides, 11 diagonals.

    3. 19 triangles - 21 sides, 18 diagonals.

    4. 120 Triangles - 122 sides, 119 diagonals.

  • 10 years ago

    The number of triangles that can be formed by drawing all of the diagonals from a single vertex is n - 3, where n is the number of sides in the polygon.

    The polygon corresponding to the number of triangles is:

    1) 9 triangles, 12 sides

    2) 12 triangles, 15 sides

    3) 19 triangles, 22 sides

    4) 120 triangles, 123 sides

    - .--

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