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$ A = \frac{a\cdot b}{ 2} $
$ a = \frac{A \cdot 2}{ b} $
$ b = \frac{A \cdot 2}{ a} $
$ c =\sqrt{a^{2} + b^{2} } $
$ a =\sqrt{c^{2} - b^{2} } $
$ b =\sqrt{c^{2} - a^{2} } $
$ h = \sqrt{p\cdot q} $
$ q = \frac{h^{2} }{p} $
$ p = \frac{h^{2} }{q} $
$ a = \sqrt{c\cdot p} $
$ c = \frac{a^{2} }{p} $
$ p = \frac{a^{2} }{c} $
Geometrie-Dreieck-Gleichschenkliges rechtwinkliges Dreieck
$A = \frac{a\cdot b}{ 2}$
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$a = \frac{A \cdot 2}{ b}$
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$b = \frac{A \cdot 2}{ a}$
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$a^{2} + b^{2}=c^{2}$
$c =\sqrt{a^{2} + b^{2} }$
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$a =\sqrt{c^{2} - b^{2} }$
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$b =\sqrt{c^{2} - a^{2} }$
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$h^{2} = p\cdot q$
$h = \sqrt{p\cdot q}$
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$q = \frac{h^{2} }{p}$
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$p = \frac{h^{2} }{q}$
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$a^{2} = c\cdot p \qquad b^{2} = c\cdot q $
$a = \sqrt{c\cdot p}$
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$c = \frac{a^{2} }{p}$
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$p = \frac{a^{2} }{c}$
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Beispiel Nr: 03
$\begin{array}{l}
\text{Gegeben:}\\\text{Hypotenusenabschnitt} \qquad p \qquad [m] \\
\text{Gegenkathete zu } \alpha \qquad a \qquad [m] \\
\\ \text{Gesucht:} \\\text{Hypotenuse} \qquad c \qquad [m] \\
\\ c = \frac{a^{2} }{p}\\ \textbf{Gegeben:} \\ p=7m \qquad a=3m \qquad \\ \\ \textbf{Rechnung:} \\
c = \frac{a^{2} }{p} \\
p=7m\\
a=3m\\
c = \frac{(3m)^{2} }{7m}\\\\c=1\frac{2}{7}m
\\\\\\ \small \begin{array}{|l|} \hline p=\\ \hline 7 m \\ \hline 70 dm \\ \hline 700 cm \\ \hline 7\cdot 10^{3} mm \\ \hline 7\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline c=\\ \hline 1\frac{2}{7} m \\ \hline 12\frac{6}{7} dm \\ \hline 128\frac{4}{7} cm \\ \hline 1285\frac{5}{7} mm \\ \hline 1285714\frac{2}{7} \mu m \\ \hline \end{array} \end{array}$