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Heron's formula is a special case of Brahmagupta's formula for the area of a cyclic quadrilateral. Heron's formula and Brahmagupta's formula are both special cases of Bretschneider's formula for the area of a quadrilateral. Heron's formula can be obtained from Brahmagupta's formula or Bretschneider's formula by setting one of the sides of the ...
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
Taking L to be the x-axis, the line integral between consecutive vertices (x i,y i) and (x i+1,y i+1) is given by the base times the mean height, namely (x i+1 − x i)(y i + y i+1)/2. The sign of the area is an overall indicator of the direction of traversal, with negative area indicating counterclockwise traversal.
Peter Navarro, senior trade adviser to U.S. President Donald Trump, said Mexico had been "very cooperative" on efforts to crack down on the influx of fentanyl into the U.S., and Canada had started ...
During a conversation with Martha Stewart, Pamela Anderson revealed how she felt about not receiving any Oscars nominations for "The Last Showgirl."
The area formula for a triangle can be proven by cutting two copies of the triangle into pieces and rearranging them into a rectangle. In the Euclidean plane, area is defined by comparison with a square of side length , which has area 1. There are several ways to calculate the area of an arbitrary triangle.
The top European Union military official, Robert Brieger, said it would make sense to station troops from EU countries in Greenland, according to an interview with Germany's Welt am Sonntag ...
In any triangle, the distance along the boundary of the triangle from a vertex to the point on the opposite edge touched by an excircle equals the semiperimeter.. The semiperimeter is used most often for triangles; the formula for the semiperimeter of a triangle with side lengths a, b, c