Trapeets

En Trapeets (faan ualgreks τράπεζα trapeza „boosel“, „sjauerfut“) as en sjauerhuk mä tau sidjen, diar paraleel tu enööder lei (a an c).

Tekst üüb Öömrang

Trapeets mä:
• huken A, B, C, D
• sidjen a, b, c, d mä a||c
• winkler α, β, γ, δ
• diagonaalen e, f
• skeerponkt S
• madelliinje m mä m=(a+c):2
• hööchde h

Bereegnangen

Bereegnangsformeln
Areal	${\displaystyle A={\frac {(a+c)\cdot h}{2}}=m\cdot h}$
Hööchde	${\displaystyle h={\frac {2}{|a-c|}}\cdot {\sqrt {s\cdot (s-|a-c|)\cdot (s-b)\cdot (s-d)}}}$ (för ${\displaystyle a\neq c}$), mä ${\displaystyle s={\frac {|a-c|+b+d}{2}}}$
	${\displaystyle h={\frac {2\cdot A}{a+c}}}$
	${\displaystyle h=b\cdot \sin(\beta )=b\cdot \sin(\gamma )=d\cdot \sin(\delta )=d\cdot \sin(\alpha )}$
Amfaadang	${\displaystyle U=a+b+c+d}$
Lengden faan Diagonaalen	${\displaystyle e={\sqrt {\frac {a\cdot d^{2}+a^{2}\cdot c-a\cdot c^{2}-c\cdot b^{2}}{a-c}}}}$ (för ${\displaystyle a\neq c}$)
	${\displaystyle f={\sqrt {\frac {a\cdot b^{2}+a^{2}\cdot c-a\cdot c^{2}-c\cdot d^{2}}{a-c}}}}$ (för ${\displaystyle a\neq c}$)
Banenwinkel	${\displaystyle \alpha +\delta =\beta +\gamma =180^{\circ }}$

Luke uk diar

 Commonskategorii: Trapeets – Saamlang faan bilen of filmer