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Pythagorean Theroem - For Right Triangles
a + b = c
2 2 2
b
c
a
Heron's Formula - For All Triangles
If s = (a + b + c) / 2
Area = √ s (s - a) (s - b) (s - c)
If s = (a + b + c) / 2
Area = √ s (s - a) (s - b) (s - c)
c
a
In this example, each side of the hexagon is 2 units long. The distance from the center to the middle of the side is √3 . So the perimeter is 12 and half of it is 6. 6 * √3 = 6√3 .
The area of a regular polygon is half of its perimeter multiplied by the distance from the center to the middle of a side.
The sum of a polygon with n sides is (n - 2)(180).
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