bonanova Posted March 9, 2013 Report Share Posted March 9, 2013 Arrange 4 matches into a square. You get 4 right angles. Halve their pair wise separations (think tic- tac- toe) and you get 16 right angles, Show how you can remove 1 match and form 12 right angles. Quote Link to comment Share on other sites More sharing options...
0 wolfgang Posted March 10, 2013 Report Share Posted March 10, 2013 Reveal hidden contents a three dimentional figure, two matches makes a cross and the third one crosses them through the centre perpendicularly,in this case we will have 12 right angles Quote Link to comment Share on other sites More sharing options...
0 tammie Posted March 9, 2013 Report Share Posted March 9, 2013 maybe its not this simple? Reveal hidden contents hmmm.... pair wise seperations is not a term i understand and google did not help! but if i understand this properly(and i wouldn't be surprised if i don't) then you have 4 matches originally lets number them 1 through 4 starting with the top of the square and working clockwise 2,3,4. then you are adding 2 more matches? i'm thinking one down the centre of the square vertically and one horizontally? then would you not just remove match number 2 and leave the sqaure open to eliminate 4 of the angles? tell me if i'm way off on the meaning of the question. Quote Link to comment Share on other sites More sharing options...
0 wolfgang Posted March 9, 2013 Report Share Posted March 9, 2013 Reveal hidden contents 1080 degrees= 12 right angles.... so we can make a triangle having three crossed sides and forming 12 angles having a total of 1080 degrees...so are equal to 12 right angles. Quote Link to comment Share on other sites More sharing options...
0 Krishna Kutty Posted March 9, 2013 Report Share Posted March 9, 2013 (edited) Reveal hidden contents Removing any one of the sides of the bigger square will leave us with 12 right angles and it will look like this: ----------------------- ----------------------- I I I I I I I I I I I I I => I I I----------I------------I I-----------I----------- I I I I I I I I I I ----------------------- ------------------------ (I don't know whether you got what i meant because my so called picture looks terrible) Edited March 9, 2013 by Krishna Kutty Quote Link to comment Share on other sites More sharing options...
0 Krishna Kutty Posted March 9, 2013 Report Share Posted March 9, 2013 I see that i got the question wrong! On 3/9/2013 at 1:15 PM, tammie said: maybe its not this simple? Reveal hidden contents hmmm.... pair wise seperations is not a term i understand and google did not help! but if i understand this properly(and i wouldn't be surprised if i don't) then you have 4 matches originally lets number them 1 through 4 starting with the top of the square and working clockwise 2,3,4. then you are adding 2 more matches? i'm thinking one down the centre of the square vertically and one horizontally? then would you not just remove match number 2 and leave the sqaure open to eliminate 4 of the angles? tell me if i'm way off on the meaning of the question. See my spoiler and you can see what i thought would be pair wise separation! Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 9, 2013 Author Report Share Posted March 9, 2013 I meant to move the sides of the square closer to each other to get something like this: # Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 9, 2013 Author Report Share Posted March 9, 2013 On 3/9/2013 at 1:24 PM, wolfgang said: Reveal hidden contents 1080 degrees= 12 right angles....so we can make a triangle having three crossed sides and forming 12 angles having a total of 1080 degrees...so are equal to 12 right angles. Actually each of 12 angles is a right angle. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted March 10, 2013 Report Share Posted March 10, 2013 On 3/10/2013 at 11:42 AM, wolfgang said: Reveal hidden contents a three dimentional figure, two matches makes a cross and the third one crosses them through the centre perpendicularly,in this case we will have 12 right angles Reveal hidden contents do you mean like 8 + 4 right angle? Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 10, 2013 Author Report Share Posted March 10, 2013 On 3/10/2013 at 5:01 PM, TimeSpaceLightForce said: On 3/10/2013 at 11:42 AM, wolfgang said: Reveal hidden contents a three dimentional figure, two matches makes a cross and the third one crosses them through the centre perpendicularly,in this case we will have 12 right angles Reveal hidden contents do you mean like 8 + 4 right angle?matz.JPG Reveal hidden contents coordinate axes for x y z. Quote Link to comment Share on other sites More sharing options...
Question
bonanova
Arrange 4 matches into a square. You get 4 right angles.
Halve their pair wise separations (think tic- tac- toe) and you get 16 right angles,
Show how you can remove 1 match and form 12 right angles.
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