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How many triangles #3

(3 votes, average: 2.67 out of 5)

January 13, 2013 by puzzler 6 Comments

1.) How many triangles do you see in this picture ?

how many triangles do you see

How many triangles do you see

See AnswerHide Answer

There are a total of 84 triangles

How?
Lets count…
Looking at the symmetry, we can divide this triangle in 4 equal parts(square) and we will first count the number of triangles in each part and then number of triangles formed by combining 2 or more parts together.
Number of triangles in one square: 8(non overlapping triangles) + 4(overlapping triangles with middle lines a part of the triangle) =12
Number of triangles by taking two squares at a time: 6(try a little harder, you will fidn these) * 4(there are four such combinations) = 24
Number of triangles by taking (only) three squares at a time: 1(all squares should be a part of the triangle) *4(four such combinations) = 4
Number of triangles by taking all squares together = 8

Thus total number of triangles = 12*4 + 24 + 4 + 8 = 84.

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How many triangles #4

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Comments

  1. Himanshu Purushottambhai Parma says

    July 18, 2015 at 1:38 am

    56

    Reply
  2. Kotte Hari says

    March 26, 2015 at 2:45 pm

    40

    Reply
  3. Maiju says

    August 21, 2013 at 10:16 pm

    I can’t find more than 76. I wish there was a more visual explanation to this one.

    Reply
  4. Rafael Robles says

    August 18, 2013 at 5:33 am

    Wrong triangle. Looked at one on face book that’s I counted. Oops

    Reply
    • puzzlersworld says

      August 18, 2013 at 5:36 am

      🙂

      Reply
  5. Rafael Robles says

    August 18, 2013 at 5:31 am

    112

    Reply

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