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Puzzle: Count the Number of Triangle in the following Figure?

+2 votes
5,780 views

How many triangles (counting of all possible sizes) can you find in the following image.

Square

posted Jan 21, 2014 by Salil Agrawal

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i found 40 tringle in this figure
No, clue is all triangles would be right angle triangles.
44 triangles
one box  - 8                    :  8x4 = 32
intersection of 2 boxes   :  2x4  = 8
common for 3 boxes       : 1x4  =  4

32+8+4 = 44

1 Answer

+3 votes

Its easy..
there are 44.
there are 8 triangles per square. and there are six squares in the figure. That gives you 48 but you have to remember that the tilted center square has 4 triangles that are being used as part of the 8 in the smaller 4 squares. So 4 are counted twice.. 48 - 4 = 44 total triangles.

answer Jan 24, 2014 by Asmita Agrawal
+1 from me but I have different explanation -
Smallest size triangle (only one triangle) - 16
Triangle with two small triangle - 16
Triangle with four small triangle - 8
Triangle with eight small triangle - 4

Total - 44
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