PWWs-01-06

The Pythagorean Theorem VI

PWWs-01-06
\documentclass[tikz, border=2pt]{standalone}
\usetikzlibrary{calc}
\usetikzlibrary{math}
\begin{document}
\begin{tikzpicture}[line width=1pt]
  \tikzmath{
    \a = 5; \b = 12; \c = sqrt(\a*\a + \b*\b);
    \l = 5;
    \a = \a / \c * \l;
    \b = \b / \c * \l;
    \c = \l;
  }
  \coordinate (O) at (0, 0);
  \coordinate (A) at (\a, 0);
  \coordinate (B) at (\a, \b);
  \coordinate (C) at (\c, 0);
  \draw (O) circle [radius=\c];
  \draw (O) -- node[above] {$c$} ($(O)-(C)$) node[left, align=center] {$\displaystyle\frac{c+a}{b}=\displaystyle\frac{b}{c-a}$\\ \\ $a^2+b^2=c^2$};
  \draw (O) -- node[above] {$a$} (A);
  \draw (A) -- node[above] {$c-a$} (C);
  \draw (O) -- node[left] {$c$} (B);
  \draw (A) -- node[right] {$b$} (B);
  \draw[thin] (A) ++(-0.05*\l, 0) -- ++(0, 0.05*\l) -- ++(0.05*\l, 0);
\end{tikzpicture}
\end{document}

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