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Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]
Proof. Let D and E be the midpoints of AC and BC. To prove:, =. Proof: is the common angle of and .. Since DE connects the midpoints of AC and BC, =, = and = = As such, and are similar by the SAS criterion.
Central Aceh Regency (Indonesian: Kabupaten Aceh Tengah) is a regency in Aceh province of Indonesia.It is located on Sumatra island. Formerly this regency covered a much larger area; on 4 June 1974, the Southeast Aceh Regency was separated from the Central Aceh Regency, [2] and on 18 December 2003 the Bener Meriah Regency was separated from the remaining Central Aceh Regency.