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Heron's formula. A triangle with sides a, b, and c. In geometry, Heron's formula (or Hero's formula) gives the area of a triangle in terms of the three side lengths Letting be the semiperimeter of the triangle, the area is [1] It is named after first-century engineer Heron of Alexandria (or Hero) who ...
This formula generalizes Heron's formula for the area of a triangle. A triangle may be regarded as a quadrilateral with one side of length zero. From this perspective, as d approaches zero, a cyclic quadrilateral converges into a cyclic triangle (all triangles are cyclic), and Brahmagupta's formula simplifies to Heron's formula.
In geometry, calculating the area of a triangle is an elementary problem encountered often in many different situations. The best known and simplest formula is where b is the length of the base of the triangle, and h is the height or altitude of the triangle. The term "base" denotes any side, and "height" denotes the length of a perpendicular ...
The Bermuda Triangle, also known as the Devil's Triangle, is a loosely defined region between Florida, Bermuda, and Puerto Rico in the southwestern North Atlantic Ocean where a number of aircraft and ships have disappeared under mysterious circumstances. The idea of the area as uniquely prone to disappearances arose in the mid-20th century, but ...
Given the lengths of the sides of any cyclic quadrilateral, Brahmagupta gave an approximate and an exact formula for the figure's area, 12.21. The approximate area is the product of the halves of the sums of the sides and opposite sides of a triangle and a quadrilateral. The accurate [area] is the square root from the product of the halves of ...
He told The Independent that the sheer volume of traffic—in a tricky area to navigate, no less—shows “the number [of ships and planes] that go missing in the Bermuda Triangle is the same as ...
Pick any one of the more than 50 ships or 20 planes that have disappeared in the Bermuda Triangle in the last century. Each one has a story without an ending, leading to a litany of conspiracy ...
Brahmagupta theorem. In geometry, Brahmagupta's theorem states that if a cyclic quadrilateral is orthodiagonal (that is, has perpendicular diagonals), then the perpendicular to a side from the point of intersection of the diagonals always bisects the opposite side. [1] It is named after the Indian mathematician Brahmagupta (598-668).