What is an ORTHIC TRIANGLE?

by

Julia Neal


The orthic triangle is formed by connecting the feet of the three altitudes of the three sides of an original triangle.

First, an altitude is a perpendicular segment drawn from the vertex of a triangle to the line containing the opposite side of the triangle.

The Foot is the point at wich the altitude meets the line containing the side of the triangle.

Now that we have defined some key terms, let's take a look at constructing an orthic triangle.

This is our original triangle. Our first step is to construct the the three altitudes.

Notice the three points where the altitudes meet the sides of the triangle. These points are the FEET. The feet form the vertices of the orthic triangle. Now we need to connect the feet to form the sides of the orthic triangle.

The green triangle is the Orthic Triangle.


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