How to Find the Number of Triangles


In a common logic game, you will have a triangle composed of a variety of smaller triangles, and have to determine how many triangles there are in total of any size. Alternatively, you may have to find several triangles within a more complex figure for high school courses in geometry. Though it can seem complicated, working step-by-step through the triangles present can help you identify the number of triangles in a larger shape.

Things You'll Need

  • Multicolored highlighters
  • Examine the smallest triangles. Take one color of highlighter and color the inside of the triangles with the highlighter. After you have finished highlighting them, count how many you have. Write this number down on a sheet of paper.

  • Combine the smaller triangles to count the medium triangles in the figure. Four triangles together can form a larger triangle. Highlight the outlines of these figures with a different-colored highlighter. Count how many medium triangles you have in total and write that number next to the number of small triangles.

  • Highlight even larger triangles composed of smaller triangles within the figure, using a third highlighter or marker. Just as four triangles can make a larger triangle, so too can nine triangles. Note the number of larger triangles you have.

  • Add one to your list of numbers if the triangles combine to form a larger triangle.

  • Add the total number of triangles together.

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