# Assignment #6

## Constructing a triangle from the medians
of another triangle

### Charles Meyer

###

### The purpose of this investigation is look
at the relationships formed between two specific triangles; a
given one and one constructed from the medians of the original.
I will look at the area, perimeter, side lengths and other important
features of the triangles. The original triangle ABC is shown
below.

### I must now find the midpoints of each segment,
label them, and then create the medians. Medians are defined as
a segment from the midpoint of a given segment to the opposite
vertex.

### The midpoints, labeled D, E, F will help in
constructing my new triangle. The process will begin by using
segment CD as my base, I will then recreate segment AF using the
parrallel line function, and finally recreate segment EB using
the same process.

### The intersection of the two parallel lines
will create the third vertex of my new triangle. This vertex will
be labeled G

### Now to look at the two triangles side by side.

### I can now begin to compare the two triangles
and their properties.

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