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∆ ..Mari mengira segitiga.. ∇ [Selesai]
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figure 1=5
figure 2=13
figure 3=23 |
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shogun77 posted on 10-2-2014 12:30 PM 
figure 1=5
figure 2=13
figure 3=23
ada yang tidak tepat shogun....
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yang fig 3 tu tak sure actually...27 or 28....huhu... |
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shogun77 posted on 10-2-2014 03:07 PM
wahhhh..
tq..
jap ye....ada confusion sikit.....nak kira lagi sekali fig 3..hehe 
you kira sekali tak the downward-pointing triangle? Last edited by Elle_mujigae on 10-2-2014 03:14 PM
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shogun77 posted on 10-2-2014 03:27 PM
ok..xpe..u kire dulu..huhu
sbb i pon confius..
kire byk2 kali..dh jdi x istiqomah jwapan i.. ...
okay okay...dah faham...betul 27....hehe..
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So far, we have 1, 5, 13, and 27. Why are we getting these numbers? Are there “hidden” patterns within these numbers?
Let’s look at the n=4 case (the fourth one in the picture above).
We shall methodically count the number of triangles of various sizes based on what I’ll call the “size of the base.” For example, the size of the base of the largest triangle for n=4 is 4. That one large triangle has a base size of 4 for these purposes.
We’ll create a table of values for the triangles that are pointed up as well as down
For n = 4:
Base size
(oriented up) | Number of triangles | | 4 | 1 | | 3 | 3 | | 2 | 6 | | 1 | 10 |
Base size
(oriented down) | Number of triangles | | 4 | 0 | | 3 | 0 | | 2 | 1 | | 1 | 6 |
If we add the number of triangles from each table, we do indeed get 27 total distinct triangles.
source
Last edited by Elle_mujigae on 10-2-2014 03:53 PM
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Post time 10-2-2014 12:23 PM
变色卡
Author
Post time 10-2-2014 12:54 PM
Last edited by Elle_mujigae on 10-2-2014 03:39 PM 
