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

Symmedial

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)