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Trapets

Trapets. Lõigud DC ja AB trapetsi alused, a ja b nende pikkused. Lõigud AD ja BC on trapetsi haarad. Trapetsi kõrgus h on aluste vaheline kaugus.

Trapets (ladina keeles trapezium, mis tuleneb kreeka sõnast trapezion 'lauake') on kumer nelinurk, mille kaks külge on omavahel paralleelsed ja kaks külge mitte. [1]

Trapetsi paralleelseid külgi nimetatakse alusteks ja ülejäänud kaht külge haaradeks. Aluste vahelist kaugust nimetatakse trapetsi kõrguseks. Trapetsi haarade keskpunkte ühendavat lõiku nimetatakse trapetsi kesklõiguks.[1]

Tippude A ja D, samuti B ja C juures olevate nurkade summa on 180°.Trapetsi haara lähisnurkade summa on 180°.

Üldjuhul ei ole trapetsil siseringjoont ega ümberringjoont. Küll on võimalik iga trapetsi ümber ja sisse joonestada ellips.

Trapetsi pindala on

kus a ja b on aluste pikkused ja h on trapetsi kõrgus. Trapetsi pindala saab arvutada ka valemist

kus k on trapetsi kesklõigu pikkus.

  1. 1,0 1,1 Kaasik, Ü. (2002). Matemaatikaleksikon. Tartu.
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Trapets
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