You can sort the triangles in several different ways.And to top it off, you can make different sizes of all of those different types of triangles as well! Remember though- your eyes may deceive you, but you cannot make equilateral triangles with the geoboard! You can make tons- scalene, isosceles, acute, obtuse, right, etc. Still not figuring out where the 14 is coming from… HELP!Ĥ) How many different types of triangles can you find? If we take out all of the repeats, then we’re only left with 10 possible variations. But you could also argue that building a triangle of 2 x 3 pegs is the same as a triangle with 3 x 2 pegs. This gives you 16 different combinations. The answer given on the PowerPoint was 14, but I’m still not quite sure how to come up with this answer. By definition of a triangle, the sum of the interior angles of a triangle should equal to 180 degrees.ģ) How many different right triangles can be made on the geoboard? No, a triangle cannot have exactly two right angles because those two angles would equal to 180 degrees, which should be the total of all three angles of a triangle. No, some might say the definition of a triangle is a “three-sided polygon”.Ģ) Is it possible for a triangle to have two right angles?
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