A decagon is a ten-sided polygon, and calculating the number of diagonals that can be drawn from each vertex requires some basic understanding of geometry. The formula for finding the number of diagonals from one vertex of a polygon is:
Diagonals from one vertex = Total vertices – 3
This is because a vertex cannot connect to itself or its two adjacent vertices with a diagonal. Thus, for a decagon:
Diagonals from one vertex = 10 vertices – 3 = 7 diagonals
Therefore, from each vertex of a decagon, you can draw 7 diagonals.
It’s also useful to note that if you’re interested in the total number of diagonals in the entire decagon, you can use the formula:
Total diagonals = (n * (n – 3)) / 2
Where n is the number of sides (or vertices) in the polygon. For a decagon:
Total diagonals = (10 * (10 – 3)) / 2 = 35 diagonals
This means that while each vertex can connect to 7 other vertices via diagonals, the entire decagon contains a total of 35 distinct diagonals.