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Paraleelogram

Paraleelogram
Tekst üüb Öömrang

En Paraleelogram as en sjauerhuk, diar en Rütj liket, man a sidjen san ei aaltumaal likelung. A sidjen, diar jinauer lei, san oober likelung.

Bereegnangen

Bereegnangsformeln
Areaal {\displaystyle A=a\cdot h_{a}=b\cdot h_{b}=\left|\left|{\overrightarrow {AB}}\times {\overrightarrow {AD}}\right|\right|}

{\displaystyle A=a\cdot b\cdot \sin(\alpha)=a\cdot b\cdot \sin(\beta)={\frac {e\cdot f\cdot \sin(\theta)}{2}}}

Amfaadang {\displaystyle U=2\cdot a+2\cdot b=2\cdot (a+b)}
Banenwinkler {\displaystyle \alpha =\gamma,\quad \beta =\delta,\quad \alpha +\beta =180^{\circ }}
Hööchde {\displaystyle h_{a}=b\cdot \sin(\alpha)}
{\displaystyle h_{b}=a\cdot \sin(\beta)}
Lengde faan a Diagonaalen

(efter Kosinussats)

{\displaystyle {\begin{array}{ccl}e&={\sqrt {a^{2}+b^{2}-2\cdot a\cdot b\cdot \cos(\beta)}}\\&={\sqrt {a^{2}+b^{2}+2\cdot a\cdot b\cdot \cos(\alpha)}}\end{array}}}
{\displaystyle {\begin{array}{ccl}f&={\sqrt {a^{2}+b^{2}-2\cdot a\cdot b\cdot \cos(\alpha)}}\\&={\sqrt {a^{2}+b^{2}+2\cdot a\cdot b\cdot \cos(\beta)}}\end{array}}}
Paraleelogramliknang {\displaystyle e^{2}+f^{2}=2\cdot (a^{2}+b^{2})}

Luke uk diar

 Commonskategorii: Paraleelogram – Saamlang faan bilen of filmer

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