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Math Help - Geometry of distance of a point from a line

  1. #1
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    Geometry of distance of a point from a line

    The conic sections are a set of topics I'm not particularly well-versed in, and I'd like some advice so that I can build a bit of intuition. Geometric approaches usually don't bother me too much, but the formulas for computing distance from a point (x1,y1) to a line Ax + By + C = 0 or y = mx + b definitely aren't sinking in, and I suspect it's because I don't fully understand similarity between right triangles.

    Geometry of distance of a point from a line-m1.png
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  2. #2
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    Re: Geometry of distance of a point from a line

    Triangles ABD and EGF are similar right? Therefore AB/EG = AD/EF.
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  3. #3
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    Re: Geometry of distance of a point from a line

    What proves that these two triangles are similar to each other though?
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