Hardpan Curmudgeon SASS #8967 Posted November 7, 2021 Share Posted November 7, 2021 Simple puzzle. Link to comment Share on other sites More sharing options...
Marshal Mo Hare, SASS #45984 Posted November 7, 2021 Share Posted November 7, 2021 18? Link to comment Share on other sites More sharing options...
Tennessee Trapper Tom Posted November 7, 2021 Share Posted November 7, 2021 Yup 18 Link to comment Share on other sites More sharing options...
Marshal Mo Hare, SASS #45984 Posted November 7, 2021 Share Posted November 7, 2021 There are also 18 quadrilaterals. Link to comment Share on other sites More sharing options...
Cypress Sun Posted November 7, 2021 Share Posted November 7, 2021 42 Link to comment Share on other sites More sharing options...
Pat Riot Posted November 7, 2021 Share Posted November 7, 2021 7 Link to comment Share on other sites More sharing options...
Father Kit Cool Gun Garth Posted November 7, 2021 Share Posted November 7, 2021 By their definition...6. Since the OP did not specify which type of triangle, my response which originally pertained to "isosceles triangles" defined as: However, if merely a triangle as defined by: Then the answer would be 24. Link to comment Share on other sites More sharing options...
Dawg Hair, SASS #29557 Posted November 7, 2021 Share Posted November 7, 2021 7 Link to comment Share on other sites More sharing options...
Smuteye John SASS#24774 Posted November 7, 2021 Share Posted November 7, 2021 Yes! Link to comment Share on other sites More sharing options...
Alpo Posted November 7, 2021 Share Posted November 7, 2021 Would someone please redraw the figure, and number all of the triangles? I see a total of 9 three-sided figures. All the other shapes in that picture have four sides. Link to comment Share on other sites More sharing options...
Calamity Kris Posted November 7, 2021 Share Posted November 7, 2021 16 minutes ago, Alpo said: Would someone please redraw the figure, and number all of the triangles? I see a total of 9 three-sided figures. All the other shapes in that picture have four sides. You are missing the combinations. If you look at the 6 triangles on the left side, they make a triangle, as do the 6 on the right side and the 3 up the middle etc. Link to comment Share on other sites More sharing options...
Ruthless Rodg Posted November 7, 2021 Share Posted November 7, 2021 Thinking it's 9 Link to comment Share on other sites More sharing options...
Ruthless Rodg Posted November 7, 2021 Share Posted November 7, 2021 No, 11 Link to comment Share on other sites More sharing options...
Alpo Posted November 7, 2021 Share Posted November 7, 2021 I just recounted and came up with 15. Problem is every time I count the damn thing I come up with a different number. Never have made it to 18. On this count I got 19. Trying again. Got 18. Found out the reason I got 19 last time was I counted three of them twice, and missed two. I think I have found them all. I think. Regardless, I am not going to count them again. Link to comment Share on other sites More sharing options...
Father Kit Cool Gun Garth Posted November 7, 2021 Share Posted November 7, 2021 @Alpo, Link to comment Share on other sites More sharing options...
Springfield Slim SASS #24733 Posted November 7, 2021 Share Posted November 7, 2021 Took forever to get those last two, but 18. Link to comment Share on other sites More sharing options...
Marshal Mo Hare, SASS #45984 Posted November 7, 2021 Share Posted November 7, 2021 Ok if you can follow the pix for the top horizontal line, the same goes for the other two horizontals. Link to comment Share on other sites More sharing options...
Pat Riot Posted November 7, 2021 Share Posted November 7, 2021 Well, I was a bit off in my estimation. I used to have a math teacher that would add questions like this to the ends of quizzes and tests for extra credit. I was at about 50% at getting them correct until he started taking points away if you missed the question. At that point I just wouldn’t answer them. After the third or fourth time he called me out while we were reviewing our tests. He asked me why I stopped trying. I explained the 50% situation and said something like “The questions are extra credit, but you take away points for incorrect answers. My scores aren’t all that great so if I don’t answer it I don’t get dinged if my answer is incorrect. Statistically, if I get 50% one way or the other then it should be a wash but then it may not be, so rather than possibly affect my already mediocre score I will pass on answering them.” I got an “A” that day for using statistics in my reasoning. Link to comment Share on other sites More sharing options...
Marshal Mo Hare, SASS #45984 Posted November 7, 2021 Share Posted November 7, 2021 I was a math major. I had two semesters with a 4.0 average. One of the courses involved, I learned NOTHING. I got an A because I could vomit all of the info that I had been fed. Link to comment Share on other sites More sharing options...
Wallaby Jack, SASS #44062 Posted November 7, 2021 Share Posted November 7, 2021 .... there is only 1 ....... with a buncha lines drawn inside it. Link to comment Share on other sites More sharing options...
Abilene Slim SASS 81783 Posted November 7, 2021 Share Posted November 7, 2021 1 hour ago, Pat Riot, SASS #13748 said: Well, I was a bit off in my estimation. I used to have a math teacher that would add questions like this to the ends of quizzes and tests for extra credit. I was at about 50% at getting them correct until he started taking points away if you missed the question. At that point I just wouldn’t answer them. After the third or fourth time he called me out while we were reviewing our tests. He asked me why I stopped trying. I explained the 50% situation and said something like “The questions are extra credit, but you take away points for incorrect answers. My scores aren’t all that great so if I don’t answer it I don’t get dinged if my answer is incorrect. Statistically, if I get 50% one way or the other then it should be a wash but then it may not be, so rather than possibly affect my already mediocre score I will pass on answering them.” I got an “A” that day for using statistics in my reasoning. Sounds like a miss on a bonus target that adds time to your score Link to comment Share on other sites More sharing options...
Ruthless Rodg Posted November 7, 2021 Share Posted November 7, 2021 I count 18. 3 levels of the pyramid, 6 triangles each. Link to comment Share on other sites More sharing options...
Charlie Harley, #14153 Posted November 7, 2021 Share Posted November 7, 2021 I submit there are 108 triangles in this diagram. There are the 18 3-sided shapes which most have correctly found. But to a geometrist or mathematician, triangles are defined and identified by their vertices. Take the diagram below. The primary outside vertices are labeled A, B, and C. The visually obvious triangle is named ABC. However, there are five more triangles in that same 3-sided shape: BCA, CAB, ACB, CBA, and BAC. The same six triangles can be found in the other (17) 3-sided shapes. And that, Saloon friends, is why I went engineering and not mathematics. Link to comment Share on other sites More sharing options...
Chicken Rustler, SASS #26680 Posted November 7, 2021 Share Posted November 7, 2021 2 hours ago, Charlie Harley, #14153 said: I submit there are 108 triangles in this diagram. There are the 18 3-sided shapes which most have correctly found. But to a geometrist or mathematician, triangles are defined and identified by their vertices. Take the diagram below. The primary outside vertices are labeled A, B, and C. The visually obvious triangle is named ABC. However, there are five more triangles in that same 3-sided shape: BCA, CAB, ACB, CBA, and BAC. The same six triangles can be found in the other (17) 3-sided shapes. And that, Saloon friends, is why I went engineering and not mathematics. It doesn't matter if you call each one by 3 different names, they're still all just one triangle each. On the other hand, I'm not a math major so I'm just going by what's real. For the people who counted 18, I have a feeling you forgot to include the one big triangle. The only thing I'm worried about is we might all be wrong if this is just one side of a pyramid. Link to comment Share on other sites More sharing options...
Doc Shapiro Posted November 7, 2021 Share Posted November 7, 2021 5 minutes ago, Chicken Rustler, SASS #26680 said: It doesn't matter if you call each one by 3 different names, they're still all just one triangle each. On the other hand, I'm not a math major so I'm just going by what's real. For the people who counted 18, I have a feeling you forgot to include the one big triangle. The only thing I'm worried about is we might all be wrong if this is just one side of a pyramid. Yup, that's how I got to 19. Link to comment Share on other sites More sharing options...
Marshal Mo Hare, SASS #45984 Posted November 8, 2021 Share Posted November 8, 2021 13 hours ago, Charlie Harley, #14153 said: I submit there are 108 triangles in this diagram. There are the 18 3-sided shapes which most have correctly found. But to a geometrist or mathematician, triangles are defined and identified by their vertices. Take the diagram below. The primary outside vertices are labeled A, B, and C. The visually obvious triangle is named ABC. However, there are five more triangles in that same 3-sided shape: BCA, CAB, ACB, CBA, and BAC. The same six triangles can be found in the other (17) 3-sided shapes. And that, Saloon friends, is why I went engineering and not mathematics. Incorrect. To a mathematician, the triangle ABC is the same as the triangles, BCA, CBA, ACB, , CBA, … Link to comment Share on other sites More sharing options...
Pat Riot Posted November 8, 2021 Share Posted November 8, 2021 ABC…Abacab….Abracadabra! In looking at the above I went from Mrs. Pochran’s First Grade singing the ABC song to the song “Abacab” by Genesis to the song “Abacadabra” by The Steve Miller Band and I realized it’s too darn early for this… https://www.songfacts.com/facts/genesis/abacab Link to comment Share on other sites More sharing options...
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