Constructing a triangle from the medians
of another triangle
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
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
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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