October 5, 2012

TRIANGLE COUNT

Here is a very classic math puzzle/problem. Just simply count the number of triangles in each figure. However, many still find it confusing since you have to count all the smallest triangles, all bigger triangles, until the largest triangle. What is confusing in this part is that some triangles may be inside another triangle (e.g. 4 small triangles are inside the bigger triangle). 

This problem requires patience, time and accuracy in counting the triangles. Here are the figures. Count the triangles well. Good luck!
Figure 1

Figure 2

Figure 3

Do you think you correctly counted all the triangles in the figure?
Let me see how good are you at counting! Leave comments here for your answer in each figure.  

8 comments:

Hi. Are you a Filipino? It's great to knwo that there are other blogs like yours. I hope we can help each other by promoting each other's blog. I have a very popular blog http://mathandmultimedia.com/

Yes, I am a Filipino. I have seen your site and it is a great site! Let us promote each other's blog for the readers... I'll follow your blog and follow mine,too. Thank you!

I believe the formula is {n(n+2)(2n+1)[-1]}/8 for even numbers and for odd numbers you subtract one, where n represents the number of base triangles!

The numbers (where n = total number of triangles and b = number of
triangles in the base) given are :

b n
1 1
2 5
3 13
4 27
5 48
6 78
7 118
8 170

thank you @engineeriolics for sharing your ideas...

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