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The area of a triangle can be demonstrated, for example by means of the congruence of triangles, as half of the area of a parallelogram that has the same base length and height. A graphic derivation of the formula T = h 2 b {\displaystyle T={\frac {h}{2}}b} that avoids the usual procedure of doubling the area of the triangle and then halving it.
The rod is useful as a unit of length because integer multiples of it can form one acre of square measure (area). The 'perfect acre' [2] is a rectangular area of 43,560 square feet, bounded by sides 660 feet (a furlong) long and 66 feet (a chain) wide (220 yards by 22 yards) or, equivalently, 40 rods by 4 rods. An acre is therefore 160 square ...
The vergée was also a quarter of a Normandy acre, and was equal to 40 square perches (1 Normandy acre = 160 square perches). The rood was an important measure in surveying on account of its easy conversion to acres. When referring to areas, rod is often found in old documents and has exactly the same meaning as rood. [3]
Area; system unit code (alternative) QID symbol or abbrev. notes sample default conversion combinations SI: square kilometre: km2 Q712226: km 2: US spelling: square kilometer: 1.0 km 2 (0.39 sq mi) km2 sqmi; square hectometre: hm2 Q35852: hm 2: US spelling: square hectometer: 1.0 hm 2 (2.5 acres) square decametre: dam2 Q23931040: dam 2: US ...
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.
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 ...
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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]