Properties of Triangles

Before we start looking at examples, let’s outline some important properties of triangles.

  • The medians of a triangle meet at a single point, the centroid. The centroid is a fancy word for an objects center of gravity (see the animation below).
Median GIF Triangle

  • Each median bisects (splits into two equal parts) the area of the triangle.
  • The median from the vertex between the equal sides of an isosceles triangle coincides with the altitude (height) to the vertex and bisects the angle at the vertex. Said differently, if you take another median (red arrow below) that splits the two equal sides of the isosceles, its length will be the triangle’s height and will split the anglee in half.