11 sides
The diagonal of a polygon is a line segment that joins two non adjacent vertices. So for a n-sided polygon, each vertex can be joined to n-3 other sides. So there ought to be n x (n-3) diagonals for a n-sided polygon; however, each diagonal is counted twice, once by the vertex at each end. So the number of diagonals is:
diagonals = n (n-3) / 2
So for 44 diagonals:
44 = n (n-3) / 2
88 = n2 - 3n
n2 - 3n - 88 = 0
(n - 11)(n + 8) = 0
n = 11 or -8
Since the number of sides can't be negative, the number of sides is 11, a hendecagon (or undecagon)
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All regular polygons with an even number of sides. Also rectangles.All regular polygons with an even number of sides. Also rectangles.All regular polygons with an even number of sides. Also rectangles.All regular polygons with an even number of sides. Also rectangles.
For regular polygons: 3, 4, or 6. For irregular polygons, figures with any number of sides can be found.
For the simple reasons that polygons are named after the number of sides, and the Greek prefix "icosa" means twenty!For the simple reasons that polygons are named after the number of sides, and the Greek prefix "icosa" means twenty!For the simple reasons that polygons are named after the number of sides, and the Greek prefix "icosa" means twenty!For the simple reasons that polygons are named after the number of sides, and the Greek prefix "icosa" means twenty!
All polygons have an equal number of sides and angles.
Polygons have an equal number of sides and angles.