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  2. Area of a triangle - Wikipedia

    en.wikipedia.org/wiki/Area_of_a_triangle

    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 ...

  3. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    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.

  4. Heron's formula - Wikipedia

    en.wikipedia.org/wiki/Heron's_formula

    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 ...

  5. Cambodia–Laos–Vietnam Development Triangle Area - Wikipedia

    en.wikipedia.org/wiki/Cambodia–Laos–Vietnam...

    The Cambodia–Laos–Vietnam Development Triangle Area (CLV-DTA; Vietnamese: Tam giác phát triển Việt Nam - Lào - Campuchia) is a growth triangle in the southern part of the Greater Mekong Subregion. The cooperation initiative was initiated in 1999 by the leaders of Cambodia, Laos and Vietnam and formalized in 2004.

  6. Equilateral triangle - Wikipedia

    en.wikipedia.org/wiki/Equilateral_triangle

    The area of a triangle is half of one side times the height from that side: =. An equilateral triangle with a side of 2 has a height of √ 3 , as the sine of 60° is √ 3 /2 . The legs of either right triangle formed by an altitude of the equilateral triangle are half of the base a {\displaystyle a} , and the hypotenuse is the side a ...

  7. Area - Wikipedia

    en.wikipedia.org/wiki/Area

    The triangle of largest area of all those inscribed in a given circle is equilateral; and the triangle of smallest area of all those circumscribed around a given circle is equilateral. [ 36 ] The ratio of the area of the incircle to the area of an equilateral triangle, π 3 3 {\displaystyle {\frac {\pi }{3{\sqrt {3}}}}} , is larger than that of ...

  8. Semiperimeter - Wikipedia

    en.wikipedia.org/wiki/Semiperimeter

    The length of the internal bisector of the angle opposite the side of length a is [1] In a right triangle, the radius of the excircle on the hypotenuse equals the semiperimeter. The semiperimeter is the sum of the inradius and twice the circumradius. The area of the right triangle is where a, b are the legs.

  9. List of second moments of area - Wikipedia

    en.wikipedia.org/wiki/List_of_second_moments_of_area

    Regular polygons; Description Figure Second moment of area Comment A filled regular (equiliteral) triangle with a side length of a = = [6] The result is valid for both a horizontal and a vertical axis through the centroid, and therefore is also valid for an axis with arbitrary direction that passes through the origin.