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 Sep 29 awarded Popular Question Sep 28 awarded Popular Question Jul 15 comment TikZ: Draw rectangular triangle by raising a perpendicular on the hypotenuse @cfr: Right. I had the hope that the calc library would also do the job, since there are some nice commands which feel quite close. Jul 15 accepted TikZ: Draw rectangular triangle by raising a perpendicular on the hypotenuse Jul 15 comment TikZ: Draw rectangular triangle by raising a perpendicular on the hypotenuse @cfr: I've added an attept for an explanation the question. Jul 15 revised TikZ: Draw rectangular triangle by raising a perpendicular on the hypotenuse added 314 characters in body Jul 15 comment TikZ: Draw rectangular triangle by raising a perpendicular on the hypotenuse I got many answers and I'm figuring which one I should accept. Your update comes quite close to what I was hoping for. However, at the moment the constructed coordinate has the name (intersection-1) and not (C). I have to confess that I don't understand the let ... parts of your code. Would you mind explaining a little bit what's going on there? And could you rename the coordinate into (C)? Thank you! Jul 15 revised TikZ: Draw rectangular triangle by raising a perpendicular on the hypotenuse briefly explain your changes (corrected spelling, fixed grammar, improved formatting) Jul 14 comment TikZ: Draw rectangular triangle by raising a perpendicular on the hypotenuse Thank you for this answer. According to en.wikipedia.org/wiki/Geometric_mean_theorem the name is right triangle altitude theorem or geometric mean theorem. Actually, this is the kind of solution which I wanted to exclude by "without doing any coordinate calculations by hand". Jul 14 awarded Curious Jul 14 awarded Nice Question Jul 13 comment TikZ: Draw rectangular triangle by raising a perpendicular on the hypotenuse Wow, thanks. I tried it, and it works. However, I have no idea what the line \draw (A) let \p1... does. Would you mind explaining that line a little bit? Jul 13 comment TikZ: Draw rectangular triangle by raising a perpendicular on the hypotenuse Thank you! Yes, the manual clipping isn't that great. Would it be possible to restrict the circle to the upper half circle? After that (and with the px path short enough), the automatic clipping should be fine I guess. Jul 13 awarded Commentator Jul 13 comment TikZ: Draw rectangular triangle by raising a perpendicular on the hypotenuse @Sigur: I've played around a bit with the intersection, but it felt cumbersome and the (invisible) helper paths unnecessarily increased the borders of my tikzpicture. I hope for a solution using coordinate computations only (maybe by introducing an auxiliary point like the center of the circle). Jul 13 comment TikZ: Draw rectangular triangle by raising a perpendicular on the hypotenuse @cfr: I don't think so: Note that X is not the center of the circle. It's just some arbitary point on the line segment AB. Jul 13 asked TikZ: Draw rectangular triangle by raising a perpendicular on the hypotenuse May 18 asked \input with wildcards (regex) in the file name Apr 24 accepted Switch between different output versions compiled from the same LaTeX source Apr 19 comment Switch between different output versions compiled from the same LaTeX source @anderstood: I have in my file the lines \usepackage{ifthen} and \newboolean{var}. If I compile this with 'pdflatex \def\var{yes}\input' (or pdflatex '\def\var{true}\input', then var seems still to be set to false.