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Breaking laws of mathmatics

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Originally posted by: sao123
Forget the drawing...Change the slope, make the triangles use the same ratio. Then solve the problem.

Its a real problem out of a real calculus book...Its difficult, but it works.

As stated before, the red and dark green triangles have different slopes. Stop trying to act as if you were correct, because it is what is known as an optical illusion. At a glance, our brain perceive it as a straight line, but if you ignore everything else, you see that one is concave, and the other is convex. To prove this, the slopes are different. Check your math, and just stop trying to be correct, because the correct answer has already been given.
 
Originally posted by: sao123
Forget the drawing...Change the slope, make the triangles use the same ratio. Then solve the problem.

Its a real problem out of a real calculus book...Its difficult, but it works.

Bold typeface still doesn't make 2/5 equal 3/8. The slopes ARE different in the pure mathematical world.
 
Just look at the top triangle as in parts
Area
green (5*2)/2=5
orange (2*2)+(1*3)=7
green (1*3)+(1*5)=8
red (8*3)/2=12

total 5+7+8+12=32

look at a whole
(13*5)/2=32.5


Humm.........

when you add the top .5 to the bottom .5...there is your missing piece
 
I calculated and explained that further up already ... some people just aren't willing to learn something. Maybe that's because this would involve admitting they've been wrong.
 
With everyone explaining this. . .I still can't picture it. I mean with my eye i see all the same shapes, and they are just in different positions, but how the hole gets there i understand, to an extent that the other traingles should have been different, but i still don't get it

ohh well, back to the salt mines.

-steve
 
HA

i get it now

I took a ruler and carefully drew the line, strait as it should have been on the top one, and it was comming up short, and i am sure that the area inside there equals the area of one box.

I'm just that dammn good 🙂

-Steve

albeit a little slow on the get go

 

I printed out a few copies...people at work are going nuts over this.

hehe what would make it even worse would be to have some wood blocks to do it with 🙂
 
Originally posted by: Acanthus
yes i see that, but the surface area of the 2 triangles is still identical, yet one has the "gap" of 1 unit, even if it isnt a true triangle it shouldnt work 🙁

My brain hurts


Hey Acan. You need to work on your sig man. You have typos and the lyrics are wrong.

PIECE of mind of a killer SOUL

😀
 
Originally posted by: stebesplace
HA

i get it now

I took a ruler and carefully drew the line, strait as it should have been on the top one, and it was comming up short, and i am sure that the area inside there equals the area of one box.

Not quite ... that bit is HALF a square (see the calculation). Do the same thing with the other arrangement, and you'll see that a long thin bit is OUTSIDE the shape of a true triangle - that's the other half of the "missing" square.
 
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