A triangle has zero diagonals.
Explanation:
A diagonal is a line segment that connects two non-adjacent vertices of a polygon. In a triangle, all vertices are adjacent to each other. Therefore, it is impossible to draw a line segment connecting two vertices that aren't already connected by a side.
Formula for Diagonals:
The number of diagonals in a polygon with n sides can be calculated using the following formula:
Number of diagonals = n( n - 3 ) / 2
For a triangle, n = 3. Plugging this into the formula:
Number of diagonals = 3 (3 - 3) / 2 = 3 0 / 2 = 0
This confirms that a triangle has no diagonals.
