How to Split a Triangle Into Fourths

By Michael E Carpenter; Updated April 24, 2017
The triangle can be split into fourths by connecting each side's midpoints.

A triangle is a three-sided polygon with interior angles totaling 180 degrees. A triangle can be split into four equal parts by taking a few measurements. The Sierpinski Triangle is an example of splitting triangles into fourths. In the Sierpinski Triangle, the process is repeated over and over to create smaller and smaller triangles within the original triangle.

Measure the length of each side of the triangle with a ruler. Write down each length, noting which measurement is for which side of the triangle.

Divide each measurement by 2 to find the midpoint of each side of the triangle.

Use the ruler and mark the midpoints on each side of the triangle.

Connect the midpoints using a straightedge and pencil. Draw a line from the midpoint of the bottom of the triangle to the midpoints of the other two sides, then connect the midpoints of those two sides. This creates four congruent triangles, meaning that all are the same size and have the same angles.

About the Author

Michael Carpenter has been writing blogs since 2007. He is a mortgage specialist with over 12 years of experience as well as an expert in financing, credit, budgeting and real estate. Michael holds licenses in both real estate and life and health insurance.