Mathober 2023 Prompt 2: Symmedial

A series of blog posts of 100ish words for Mathober.


Can I describe a symmedial triangle without using cevian, isogonal, or any of the other words I had to look up to learn what one is?

A symmedian is a particular line from a vertex of a triangle to the opposite side. To find a symmedian:

  • draw a line from a vertex to the midpoint of the opposite side
  • draw another line from the vertex, this time one that cuts the angle at that vertex in half
  • reflect the first line in the second.

The symmedial triangle is made by joining up the points where the symmedians cross the sides of the triangle.

(103 words)





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Hello! I’m Sam Hartburn, a freelance maths author, editor and animator. I also dabble in music and write mathematical songs. Get in touch by emailing or using any of the social media buttons above.

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