how to count ?

Question

Hi,

how do i count how many triangles are there in this figure ?
http://img258.imageshack.us/my.php?image=scan0004pj4.jpg

its very diffucult to count just by looking at it ...and that might be erroneous ........can you tell me some tips of how to count how many triangles are there in this figure in a scientific way ?

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12 is a wrong answer....i told you eyes cant help much really ..

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neither 20 is the answer......the answer is given in my book but there is no explanation and hence I am stuck.

can we use the clues they have given in the problem to come out with a better way of finding ?

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Mr Dawn, could you please tell me , how did you find it ? your answer is correct.

Its very tough to count only by eyes....highly confusing

will you please unravel your trick ?



I would also like to apply the same trick to find out the number of quadrilateals .

Answer 1

There's 28! That's a cool trick!

You have 14 that are very obvious and then there are the triangles that are combined. Well after that I looked harder and saw that there larger triangles in each of the corners like you see (q4 q3 d). There are two triangles in every corner.

Are there 15 quadrilaterals? Or more?

Answer 2

I just figured 20 if you put two triangles together to make the larger one. As far as scientifically measuring it, I don't know how to explain it. Sorry

Answer 3

thers 12