Triangle construction

 

Begin by drawing an arbitrary triangle.

Construct the midpoints of each side.
Connect the midpoints to form another polygon.
Use the construct triangle interior option under the construction menu to construct the interior of both the original triangle and the triangle formed by the midpoints.
Under the measure menu use the perimeter and area options to calculate the area and perimeter of both triangles.


Calculate the ratio of the area and perimeter of the smaller triangle to the larger triangle using the calculate option under the measure menu.

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