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How many triangles #2

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January 12, 2013 by puzzler 1 Comment

1.) How many triangles are there in this picture ?

How many Triangles are there in this picture

How many Triangles are there in this picture

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There are a total of 92 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) + 8(overlapping triangles with diagonal a part of one of the side) + 3(diagonal is perpendicular to one of the side of the triangle) =19(You can get it correct after a little hard try)
Number of triangles by taking two squares at a time: 3(common side of square is perpendicular) * 4(there are four such combinations) = 12
Number of triangles by taking 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 = 0

Thus total number of triangles = 19*4 + 12 + 4 +0 = 92.

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Comments

  1. T Sardar says

    July 29, 2013 at 2:48 am

    right ans is 96. 92 is wrong

    Reply

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