N is a KABOB
Any n-sided polygon (n being any integer) will always have a minimum of n-2 triangles inside the shape, assuming that the polygon is regular with no reflex angles.
A shape in 2D with n sides is called an n-gon. In higher dimensions, a shape with n sides is called an n-sided polyhedron.
The name of a polygon with 20 or more sides is called "n-gon".
n-gon
The equation for the size of an interior angle of an n-sided regular polygon is (n-2)180/n. When n=7, the interior angle of a regular sided shape would be 5x180/7 or approximately 128.57. The polygon in the question has an interior right angle (90 degree angle) and thus cannot be a regular shape. A 7 sided shape is called a heptagon. Thus, the shape described in the question is an irregular heptagon.
n-gon
N is a KABOB
Any n-sided polygon (n being any integer) will always have a minimum of n-2 triangles inside the shape, assuming that the polygon is regular with no reflex angles.
A shape in 2D with n sides is called an n-gon. In higher dimensions, a shape with n sides is called an n-sided polyhedron.
A 4-sided polygon has 2 diagonals. A 5-sided polygon, 5. 6-sided, 9. By induction, an n-sided polygon has 'n*(n-3)/2' diagonals. "n" is how many sides a shape has. so, (7)*(7-3)/2 now we have, 7*4/2 so, 28/2 = 14 Therefore, a 7-sided polygon would have 14 diagonals.
The name for a polygon with n sided is a n-gon.
The name of a polygon with 20 or more sides is called "n-gon".
n-gon
any polygon with more than 12 sides is called an n-gon
The equation for one interior angle of an n-sided polygon is (n-2)180/n. In this case we have a 6 sided polygon. If we plug n=6 into the equation we get: (6-2)180/6 =4x30 =120. Thus 1 interior angle of a 6 sided shape would be 120 degrees.
By looking at other polygons with less sides, we can see how many triangles they can fit. In a 4-sided polygon (square), you can fit 2 triangles. In a 5-sided polygon (pentagon), you can fit 3 triangles. In a 6-sided polygon (hexagon), you can fit 4 triangles. In an 8-sided polygon (octagon), you can fit 6 triangles. The pattern here is the number of triangles is equal to the number of sides minus 2. T = N - 2 So... 50 - 2 = 48. 48 triangles can fit into a 50-sided polygon.