2019G1A2 – Geometrie Keilfläche

h = 0,19 \;\mathrm  m; \;\; l=1,8\;\mathrm m; \;\; b = 1,3\;\mathrm m

\begin {aligned}
A = & A_{01} + A_{02}\\
& A_{01} = \frac 1 2 \cdot h \cdot l \\
& A_{02} = a \cdot b\\
\end {aligned} \\
\\

\begin {aligned}
a & = ?\\
a^2 & =h^2+l^2\\
& = {(0,19\;\mathrm m)}^2 + {(1,8\;\mathrm m)}^2 \\
& = 3,2761\;\mathrm m^2\\
a &= \sqrt{a^2}\\
a & = 1,81\;\mathrm m\\
\end {aligned} \\

\begin{aligned}
A_{01} & = \frac 1 2 \cdot h \cdot l\\
& = \frac 1 2 \cdot 0,19\;\mathrm m \cdot 1,8 \;\mathrm m\\
& = 0,171\;\mathrm m^2\\
\end{aligned}\\

\begin{aligned}
A_{02} & =  a \cdot b\\
& = 1,81\;\mathrm m \cdot 1,3 \;\mathrm m\\
& = 2,353\;\mathrm m^2\\
\end{aligned}\\

\begin {aligned}
A & = A_{01} + A_{02}\\
& = 0,171\;\mathrm m^2+2,353\;\mathrm m^2 \\
& = 2,524\;\mathrm m^2\\
\end {aligned} \\
\\

\begin{aligned}
n &= A/ 1,2\;\mathrm m^2 \\
&= 2,524\;\mathrm m^2 / 1,2\;\mathrm m^2 \\
&= 2,1033\\
&= > 3\\
\end{aligned}