Area
The area of an isosceles (or any) trapezoid is equal to the average of the lengths of the base and top (the parallel sides) times the height. In the diagram to the right, if we write AD = a, and BC = b, and the height h is the length of a line segment between AD and BC that is perpendicular to them, then the area K is given as follows:
If instead of the height of the trapezoid, the length of the leg AB = c is known, then the area can be computed using the formula
- ,
where is the semiperimeter of the trapezoid. This formula is analogous to Heron's formula to compute the area of a triangle. The previous formula for area can also be written as
Read more about this topic: Isosceles Trapezoid
Famous quotes containing the word area:
“Self-esteem is the real magic wand that can form a child’s future. A child’s self-esteem affects every area of her existence, from friends she chooses, to how well she does academically in school, to what kind of job she gets, to even the person she chooses to marry.”
—Stephanie Martson (20th century)
“If you meet a sectary, or a hostile partisan, never recognize the dividing lines; but meet on what common ground remains,—if only that the sun shines, and the rain rains for both; the area will widen very fast, and ere you know it the boundary mountains, on which the eye had fastened, have melted into air.”
—Ralph Waldo Emerson (1803–1882)
“Prosperous farmers mean more employment, more prosperity for the workers and the business men of ... every industrial area in the whole country.”
—Franklin D. Roosevelt (1882–1945)