experimentX
  • experimentX
how many triangles do you see in figure.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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experimentX
  • experimentX
1 Attachment
anonymous
  • anonymous
overlapping or no?
experimentX
  • experimentX
overlapping

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More answers

anonymous
  • anonymous
39?
King
  • King
43 or 45
King
  • King
43-45
King
  • King
44 i think
experimentX
  • experimentX
let's see, we have 1 huge triangle
experimentX
  • experimentX
the no of smallest triangle is 9+7+5+3+1 = 26
experimentX
  • experimentX
a little bigger triangle .. we have 13, so total is 40 until now
King
  • King
45 is the answer
experimentX
  • experimentX
no .. but quite close
experimentX
  • experimentX
i think 46
experimentX
  • experimentX
Oo... sorry @King 's right i made mistake in above summation
experimentX
  • experimentX
can you explain your approach?
King
  • King
so 45 is rite?
experimentX
  • experimentX
9+7+5+3+1 = 26 .. from this i was able to deduce 46
King
  • King
nos.of small triangles=25 not 26!!@experimentX
King
  • King
9+7=16 5+3+1=9 16+9=25!!
experimentX
  • experimentX
still i cannot come up with general formula ...!
Diyadiya
  • Diyadiya
I got 46
King
  • King
no.of triangles=level of @experimentX
King
  • King
hw diya?
Diyadiya
  • Diyadiya
Wait letme count again
experimentX
  • experimentX
lol ... quite a matching no.
King
  • King
no.of small triangles=25 no.of triangles with 2 rows of small triangles=10 no.of triangles with 3 rows of small triangles=6 no.of triangles with 4 rows of small triangles=3 1 big full triangle so, 25+10+6+3+1 =45!!
experimentX
  • experimentX
no.of triangles with 2 rows of small triangles=10 ...it think this should be 13, aren't we missing inverted triangles?
.Sam.
  • .Sam.
If overlapping I found 45
King
  • King
yeah!!sry so its 48
Callisto
  • Callisto
not include the inverted ones :(
1 Attachment
King
  • King
there are no inverted ones wid 3 or 4 rows so it has to be 48...i think
King
  • King
so answer is 48!!
King
  • King
@experimentX u der?if u are happy and satisfied wid answer close the question....
experimentX
  • experimentX
i guess 48 is the right answer ...
1 Attachment
experimentX
  • experimentX
still i was looking some sorts of permutations and combinations to this get this answer ... anyway thanks to all who tried.
anonymous
  • anonymous
floor(n(n+2)(2n+1)/8) where n is the number of triangles on a side in your specific case, n=5
TuringTest
  • TuringTest
if this problem is only about the dark triangles it is kind of boring... isn't it about using the inverted ones as well as callisto suggested?
TuringTest
  • TuringTest
actually, I'm seeing more problems with the solution here isn't there much more going on that we are ignoring?
anonymous
  • anonymous
@philips13 Gave the right answer. \[\huge \lfloor \normalsize \frac{ (n(n+2)(2n+1)}8 \huge \rfloor \]
TuringTest
  • TuringTest
Oh yeah? Ok thanks, but now I wanna decipher it you seem to be familiar with this theorem FFM :P
anonymous
  • anonymous
I am familiar with almost everything labelled interesting :P http://www.mathematik.uni-bielefeld.de/~sillke/SEQUENCES/grid-triangles
TuringTest
  • TuringTest
You think we haven't noticed? Where do you get this encyclopedic knowledge?!
anonymous
  • anonymous
Lol, I was kidding. I am just an ordinary guy with some practice :)
TuringTest
  • TuringTest
yeah, whatever... :P I'm not sure I understand some of the notation on the link you gave me, but I'm sure I'll get it after hacking away at it for a while. Thanks :D
anonymous
  • anonymous
:)
Callisto
  • Callisto
I was thinking why i couldn't get the answer 48 when i did the calculation. But then from the website, it says that number of triangle = n*(n+2)*(2n+1)/8 for n even = (n*(n+2)*(2n+1) - 1)/8 for n odd So, I got 48 finally... BTW, it's experimentX who first suggested that we were missing the inverted triangles
experimentX
  • experimentX
thanks to all for reply!! and finally it's complete!
anonymous
  • anonymous
48 i guess

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