Funny Mathematics Answer
Here is some funny mathematics answer that might bring fun to you.
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cronos said,
July 18, 2006 @ 10:44 am
Excellent! I have had a lot fun
nigulax said,
July 20, 2006 @ 3:44 pm
The ABC triangle box one .. anyone know why dat happen ??
Doraemon said,
July 20, 2006 @ 6:23 pm
i also don’t know why that happen. do you know it? tell us if you know it.
P0seid0n said,
July 22, 2006 @ 12:21 am
It is hard to spot but the gradient of the hypotenuse (long side) of the green triangle is slightly steeper then that of the hypotenuse of the red triangle, so the second triangle has a larger area because the “bump” caused by the sides of the triangles is going outwards and included in the area of the large “triangle” instead of bending inwards and being taken off the large “triangle”. So the large “triangle” isn’t really a triangle at all, it’s a quadrilateral.
Fabulo said,
July 22, 2006 @ 12:31 am
The surface of both big triangles is 5 * 13 / 2. Sort of.
If you look carefully, both are drawn in thick imprecise contours. It just happens that in the second triangle, the D-E (the slanted one) line is slightly bulging. It’s arching up ever so slightly. It is not obvious in any way. You can see by comparing the point where the yellow piece top left corner meets that D-E line. Compare that point with where it would be on the first triangle. You see that point is very slightly above where it would be in the first triangle.
Another way to see that this is just a (flawed) illusion is to try to reproduce the diagram on your own piece of paper (using graph paper and a ruler of course) turns out you can’t. In the second triangle, you can’t make all the piece fit (cuz it’s inflated by exactly ‘one’ square unit)
Alex said,
July 22, 2006 @ 12:39 am
I know the answer. the two “triangles” arent triangles at all … u see in the 2 triangles the “hypoteneuse” is bent because what seems like 2 angles that are equal are not equal since they dont have the same slope … so one hypoteneuse is bent inwards and the other one is bent outwards … if u calculate the area it is that NEW SQUARE … if u want to prove it , open the pic in MS paint , crop one triangle and put it on top of the other… ull notice the difference ,… if u want me to help u , my email is alex_vartanian@hotmail.com
Andriyp said,
July 22, 2006 @ 1:19 am
“Triangles” ABC and DEF are not really triangles, but quadrilaterals (and the first one, ABC is not convex; = “caved in”)
Lobsang said,
July 22, 2006 @ 1:48 am
The triangle illusion happens because one of the triangles is concave, and the other one is convex. If you draw them in square paper, you’ll see that. The small differences make up for the “lost” square.
Ron said,
July 22, 2006 @ 1:58 am
The line A-B is not a straight line. In the top drawing it curves down a bit, in the bottom drawing D-E curves up a bit.
The drawing suggests that the triangles are similar. However, if the green triangle is 2 units high and 5 units across, then since the red triangle is 3 units high it should be 7.5 units across. But it’s not. Therefore the two triangles are not similar.
required said,
July 22, 2006 @ 2:22 am
Dat hole is the Pythagorean Hole. It is a dark cave where mathemeticians go before hanging themselves.
Jarod said,
July 22, 2006 @ 2:49 am
For the ABC triangle: The missing square comes from (try to use your imagination here) arranging the sloped “tiles” of each triangle to form complete squres. To explain things a bit easier, think of it as counting square tiles and we just “dump” all the incomplete square tiles from the triangle in to a pot and then counting squares. There’s a 1 square difference between the two triangles. (By the math, the big one is 3×8, small triangle 2×5, LCMs: 15×40 and 16×40. 16-15=1.)
agi said,
July 22, 2006 @ 3:34 am
The two smaller triangles are not similar. Therefore, the longest side of the big triangles is never straight.
stereoroid said,
July 22, 2006 @ 3:59 am
The solution to the triangle problem can be found here: http://infohost.nmt.edu/~armiller/triangles.htm . Nasty stuff.
I didn’t get that far - got stuck on the fact that the area of the big “triangle” was 32.5, while the sum of the areas of the four smaller figures was 32..!
Regyr said,
July 22, 2006 @ 4:18 am
Look at segment AB of the two triangles. Is it really straight? Compare it with the underlying grid. Now do you see where the “missing” area has gone to?
stam said,
July 22, 2006 @ 4:21 am
It’s easy. Lines AB and DE are almost but not exactly straight. Line AB is bent slightly down and line DE is bent slightly up. The difference in area occupied is actually the missing area. If the figure is drawn carefully this can be easily seen.
lurch said,
July 22, 2006 @ 4:44 am
Despite looking like straight lines, AB is bent in while DE is bent out. Check the corresponding squares along each of them to see how much more of some the bottom figure fills than the top one.
jenny said,
July 22, 2006 @ 4:47 am
The lines AB and DE are not straight. If you draw this yourself on graph paper, hold a ruler up to the two lines. The line AB sags down and the line DE bulges out. It’s very slight but it adds up to the area of one square.
Michael said,
July 22, 2006 @ 6:33 am
A-B and D-E are not straight lines. The slope of the red area is 3/8 and the slope of the olive area is 2/5.
Bryce said,
July 22, 2006 @ 7:24 am
For the triangle one, two of the smaller triangles ahev simply been switchecd
Puchasgracias said,
July 22, 2006 @ 7:55 am
It happens because the angles of the two triangles are different. Basically, one of the (big) triangles is convex and one is concave. If you look at the areas of the squares along the top edge of the top and bottom triangles, you can see that they are different. This difference makes up the single square in the bottom one.
SS said,
July 22, 2006 @ 9:01 am
Look at where the triangles touch in the bottom figure–it’s spot on if not even a little above the grid intersection. Now, compare that to the equivalent spot on the top figure, which is substantially below the grid intersection. It’s not a lot, but spread out over 13 grid squares, it’s enough to account for an entire grid square.
Bohemian said,
July 22, 2006 @ 12:06 pm
As in why it became a hangman?
The solution to the hole in the triangle can be found by examining the red and green triangles. If we solve for the tangent of the red (3 squares / 8 squares = 0.375) and compare it with that of the green (2/5 = 0.4), we would realise that both the triangles aren’t similar! Hence, ABC is actually a “crooked” triangle and thus it creates a hole when rearranged
pete23 said,
July 22, 2006 @ 3:47 pm
neither of them are actually triangles. if you look at the top picture, the green and red triangular blocks make a slightly concave shape, in the lower one they make a slightly convex shape, hence yielding the extra area for the extra square.
the green and red triangles have different angles, so the way round you put them matters.
Mat said,
July 22, 2006 @ 11:45 pm
Check the ratios of the two triangles :-P, they are different. So you dont have the same shape anymore, and missing bit has gone to change that deflection in the longest length of the triangle.
Mat
Tom said,
July 23, 2006 @ 1:19 am
The red triangle is not similar to the green triangle. Therefore even though ABC looks like a triangle, it is actually a quadrilateral.
Elliott Back said,
July 23, 2006 @ 1:22 am
It’s not a triangle–the hypotaneus is curved to give an optical illusion…
www.timklein.com said,
July 23, 2006 @ 7:33 am
A big hint: The puzzle writer shouldn’t have referred to the top figure as ABC, since that implies that it has only three vertices. It actually has four!
Kelly said,
July 23, 2006 @ 8:47 am
RE: the triangle one. In the 2nd picture, look at the top right point in the green triangle. Notice that it is right in the corner of one of the squares on the graph paper. Now look above at the same point, notice that the red triangle doesn’t pass through that point, but slightly below it. Small differences like that make up the missing area.
Walky said,
July 23, 2006 @ 10:05 am
The ABC one is simple. AB is not a straight line, it actually changes it’s angle right where the two triangles meet (compare with DE by using the squares from the paper).
Greeting from Chile
Dadrox said,
July 23, 2006 @ 2:40 pm
@nigulax:
It’s because triangle DEF isn’t actually a triangle… Line DE isn’t a straight line.
Just an illusion.
Milek said,
July 24, 2006 @ 5:47 am
The line between A&B (D&E) isn’t straight… that’s why
Regards!
mcdrewski said,
July 24, 2006 @ 6:51 am
Regarding the triangle one, that’s not a funny math answer, it’s an old math problem to do with understanding calculation of areas.
Answer: The green triangle is 2×5, the red is 3×8. this means that although it *looks* like a straight line along the top it is not. So, in the first configuration the line bows out slightly, whereas in the second it bows in slightly. The difference is the ‘hole’.
Jared said,
July 24, 2006 @ 7:18 am
The red and blue-ish triangles are not congruent. AB is slightly concave, DE is slightly convex.
Walter Banks said,
July 25, 2006 @ 3:49 am
Who cares where the hole came from.
The two loose collections of objects happen to have the same sized objects in them.
Nice co-incidence that area of the two triangles ABx and DEy is exactly one square.
x and y is intersection of red and green trianges in each of the diagrams
Needcoffee.com said,
August 1, 2006 @ 1:52 pm
Must Be That New Math
Eglobe1 has a bunch of math solutions that basically get an E for effort. And…not much else.
You’d think they had found a bunch of my old school papers, honestly.
Found via Neatorama.
…
Richard Schorn said,
August 15, 2006 @ 4:37 am
That’s a nice geometric application of the so called
Fibonacci sequence:
1,1,2,3,5,8,13,21,34,…
freda said,
August 23, 2006 @ 9:16 pm
Iits realy funny, if any of those was my student I would give up teaching.
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桑林志 » 数学笑话 said,
August 29, 2006 @ 11:45 pm
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Cliff said,
November 3, 2006 @ 12:11 am
The “hole” is not a hole at all, but is actually the hiding place of the gunmen who shot JFK. This the actual location of the so-called “grassy knoll”.
Segun Adewusi said,
February 2, 2007 @ 5:31 pm
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Is represented as:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 1 9 20 21 22 23 24 25 26.
Then:
H-A-R-D-W-O-R- K
8+1+18+4+23+15+18+11 = 98%
and
K-N-O-W-L-E-D-G-E
11+14+15+23+12+5+4+7+5 = 96%
But,
A-T-T-I-T-U-D-E
1+20+20+9+20+21+4+5 = 100%
AND, look how far the love of God will take you
L- O- V- E-O-F-G-O-D
12+15+22+5+15+6+7+15+4 = 101%
pete said,
February 10, 2007 @ 12:16 pm
HOLY $#!7… how many times did people post the solution to the triangles thing… thats rediculous… youd think people might understand after the first 25 times :p
Bodo said,
February 16, 2007 @ 9:11 am
Ironically, the limit as x approaches 8 of 1 / (x -
does not exist. So the example givien is also wrong.
However, the limit as x approaches 8 from the right of 1 / (x -
is infinity
However, I still think it is funny
However, I do realize I am still going to sound like a humorless, killjoy nerd anyways
Dave said,
February 17, 2007 @ 1:46 am
are you guys kidding me? this is ridiculous. Every shape is exactly as it appears. both smaller “triangles” are exactly that - triangles. if you make your own cutout of these shapes, you will get the exact same thing by rearranging the irregular polygons in the lower right hand side. it simply comes about because of the difference in the green and yellow pieces. there is no illusion here.
babak said,
March 2, 2007 @ 3:58 am
the A-B line is not the same.It is curved in one shape but straight in the other one.That’s why it enjoys more space than the other one.
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mahdi asi said,
March 9, 2007 @ 1:55 am
sin Angle a is .not equale to sin angle d
jak said,
March 14, 2007 @ 4:29 am
i love the maths answer XD!!!!
jak said,
March 14, 2007 @ 4:37 am
i love the maths answer!!!!! XD!!!!!! but the simple answer is look at the 3rd row down and the 9th row across, the line crosses the cross section of the contours but now look at the 4th row up and 9th row across it doesnt cross cross section of the contours, simply the angle is slightly different which makes it add up to 1 square
mike said,
March 15, 2007 @ 1:24 am
you guys are funny. The triangle one is so simple. The pieces are not all the in the same places. Look at the example closely and you will see the larger red triangle is now on TOP, not in the front. The shorter green triangle has taken the front position instead of the red. Also the amber piece no longer sits ON TOP of the lighter green its long side now rests on the “notch” portion of the lighter green piece.
The square is simply the space caused by shifting the pieces, nothing is bent or hidden. Over analyze much?
Di said,
March 20, 2007 @ 6:01 am
mike,if wut u said was true,then why is the area the same
haris said,
March 20, 2007 @ 6:46 am
its very funnnnny
jack said,
March 28, 2007 @ 12:25 am
why are there so many replies to “i also don’t know why that happen. do you know it?” im pretty sure he/she didnt want about 50 people repeatedly giving the same answer in a failed attemt to look smart themselves.
retard said,
March 28, 2007 @ 7:42 pm
who who done this a retard? some gay man
Hannah said,
March 28, 2007 @ 10:56 pm
mell to be honest i really don’t have a clue but recon that wot ron said woz cool so i’m sayin wot he did.
I said,
April 8, 2007 @ 7:21 am
Why the hell cant you all just freakin look at these and laugh, and leave it at that who gives a f*@# what the answeres are just write lol or hella funny or something
elvis(china) said,
May 12, 2007 @ 10:43 pm
that is every funny~
真的很有趣呢~
Mike said,
June 5, 2007 @ 6:51 am
love of god may get you far but lets try ASS KISSING:
A S S K I S S I N G
1 19 19 11 9 19 19 9 14 7 =146%
ali moughnieh said,
June 9, 2007 @ 12:25 am
since the slope of the hypotenuse of the green triangle is different than that of the red one, then the two shapes arent really triangles, they are two different shapes, and their areas are not “half the base times the hieght”, therefore you can’ say: how come the summation of the areas of the individual peices is not equal to the bigger triangle’s area, because these are just not triangles, and there’s nothing as an optical illlusion here, nothing is really concaved
humair said,
July 26, 2007 @ 4:25 pm
i solved it.but i can not give u the answer because money is money.
Red said,
August 14, 2007 @ 7:35 pm
tangent 90 = unidentified hehe!
M2ger said,
October 21, 2007 @ 7:27 pm
lool
find X 
here it is
Darrell said,
November 30, 2007 @ 3:49 pm
wow some of you are really stupid… the triangle one is an outstanding phenomenon. Some of you stated it is due to the line being curved, and some have just restated the obvious(the triangles have switched). Try it out clowns…Go get a piece of paper…cut it out in the same shapes in the picture… take the area of the triangle (1/2*base*height) then rearrange the shapes and look at that! a 1X1 piece is missing from that same area equation. Fantastic question.
Darrell said,
November 30, 2007 @ 3:55 pm
the slopes are irrelevant due to the FACT that BOTH pictures fit within the SAME AREA. It’s like taking a cookie cutter out and cutting the cookie into different shapes. then rearranging those shapes inside the cutter’s frame and getting the final result. Slope mean nothing in this picture. You even said there is no curve to the triangles therefore they are uniform and unchanging no matter the arrangement.
habib mardi said,
February 13, 2008 @ 11:51 pm
mardi from iran. in this world there are things very wonderful than this subject so we sure god is right.
Ugh said,
February 28, 2008 @ 1:22 pm
Ugh, dudes, the entire 4 point shape of the triangles have changed, ab isnt actually line, theres an intersection there direction changes, the first triangle is bigger than the bottom one. The shapes are different
Shaan said,
March 25, 2008 @ 3:58 am
The two triangles r very cunningly manupulated ur gettin the difference Bcoz of the Dark Black LInes .The THICK BLACK LINE play de trick here..If u didnt get me TRy Make the same cut outs without using de thick dark line and try to arrange it u will c de slight diff in the base line EF
leonard said,
April 29, 2008 @ 5:13 pm
hey that hole is misterious
Adro said,
June 3, 2008 @ 12:56 pm
TRy to draw it in Autocad, you’ll see that is a fake…!!!