There are 6 diagonals that can be drawn from one vertex of an octagon. True or false?

Octagons are polygons that have 8 sides.

Answer: The given statement is false, only 5 diagonals can be drawn from one vertex of an octagon.

Let's understand in detail.

Explanation:

The number of diagonals that can be drawn from a single vertex of a polygon is three less than the number of sides. This is represented by the formula: (n - 3). In the case of an octagon, there are 8 sides. Therefore, n = 8. So, let us substitute 8 in the formula: (n - 3) = 8 - 3 = 5. This shows that 5 diagonals can be drawn one vertex of an octagon.

Thus, it is false that there are 6 diagonals that can be drawn from one vertex of an octagon. Only 5 diagonals can be drawn from one vertex of an octagon.