The two-dimensional topics hereafter are for the most part limited to just five standard figures:
triangles, rectangles, squares, trapezoids and circles. Only the "trapezoid" typically
triggers an
ominous
ominous (adj.): ahm-men-nuss
threatening or menacing in appearance; inauspicious
|
sense of
foreboding
foreboding (n.): four-bOde-ding
an intuitive feeling regarding the onset of misfortune; a premonition of evil happenings
|
as the other four are rather routine, everyday encounters. Anyway, we will have the opportunity to see that all the other
polygons (
i.e., the triangle,
the square, and the rectangle) are each a special case of the general figure casually known (to the
the excessively
erudite)
erudite (adj.): air-U-dIght
having or showing profound knowledge; scholarly
|
as a trapezoid. To begin, we present these five figures, along with a corresponding pair of
formulas in order to determine the
Perimeter and the
Area for each of them.
The simplest polygon possible will be the 3-sided
figure that virtually everyone recognizes as a triangle:
![](G1/Triangle.png)
The
Perimeter (
i.e., distance around the polygon) is merely the sum of the three
sides
a,
b, and
c. The
Area is a little less obvious,
however, it can be found by taking the product of ½ times the (length of the)
base times the
height of the
triangle. Thus...
P = a + b + c (Perimeter)
A = 0.5 × b × h (Area)