Guess where is the missing square

[oliver]

bob is trolling.

The only other explanation is that he is transcending the commonly accepted laws of geometry and mathematics.

Either way it's fun.

[BobTheCrate]

For instance, please explain how you got the figure of 7.3845(?) for the area of the orange shape

Here

Area of orange shape is given by :-

(DG * GJ) + (FH * iH)
= ((3.0769 - 1) * 2) + ((3.0769 - 2) * 3)
= (2.0769 * 2) + (1.0769 * 3)
= 4.1538 + 3.2307
= 7.3845 sq units

Add 'em up and you'll get 32.4999 sq units which you may (or may not) accept

LOL hahahahahahahaha - when 'proving' your maths you could at least PRETEND it adds up!

Well let's do it again then ...

Red triangle = 12.3076 sq units
Green triangle = 4.8078 sq units.
Orange shape = 7.3845 sq units
Lime shape = 8.0000 sq units
-------------
32.4999 sq units

What do you get then ?

[BobTheCrate]

AtW - I think this thread is nearing the end of its natural now and is very unlikely to to even look respectable against the Columbian Hostages.

Lone Gunman,

I think you're making a mistake in assuming all sides in my triangle are whole numbers - they're not as Fortune Green has identified.

I think maybe now you would be able to agree the maths pertaining to the area of each sub-shape. Again let me know if you still think there's a mistake in the maths with regard to the sub-shape area calcs.

Fortune Green,

You're correct that some of the sides are not whole numbers.

I quoted those sides that are whole numbers because it's easier for someone to draw 1 unit than it is for them to draw (for example) 2.0769 units. Line DE for example.

However this does not prevent the triangle being a true right angle triangle. One angle is 90 degrees, there are 3 straight sides that all meet properly. This is true for the sub-triangles as well.

Line AC = 5 units made up of :-

AF=1.9231 units
FH = 1.0769 units
HC = 2 units

Line DE = 3.0769 units made up of :-
DG = 2.0769 units
GE = 1 unit

(DE = FC because FC = (FH) 1.0769 + (HC) 2

Please re-check and I'm sure you'll find everything in order for the first triangle.

[AtW]

AtW - I think this thread is nearing the end of its natural now and is very unlikely to to even look respectable against the Columbian Hostages.

You slackers!!!! I knew I should have used Ferma's theorem

[oliver]

Here

Well let's do it again then ...

Red triangle = 12.3076 sq units
Green triangle = 4.8078 sq units.
Orange shape = 7.3845 sq units
Lime shape = 8.0000 sq units
-------------
32.4999 sq units

What do you get then ?

In other words the area of the shapes that make up your triangle is less than the area of the triangle?

A Nobel prize is surely forthcoming.

As a rule mathematical 'proofs' don't involve statements like "the figures very nearly add up therefore we can assume they are correct".

Also, dimwit, when you put your orange shape up against the lime shape - oh dear - they don't fit do they?

So what do you think might be wrong? Yes that's right - you CAN'T rearrange your triangle into another triangle (and defy the laws of geometry) after all can you?

[AtW]

Red triangle = 12.3076 sq units
Green triangle = 4.8078 sq units.
Orange shape = 7.3845 sq units
Lime shape = 8.0000 sq units
-------------
32.4999 sq units

Can you use metric system please, it is hard to follow your logic.

thanks

[BobTheCrate]

AtW: A pretty feeble attempt to extend the life of this thread. You're gonna have to do better than that ol' man.

In other words the area of the shapes that make up your triangle is less than the area of the triangle?

Well first of all do those 4 numbers add up to 32.4999 or not ?
You said of that and I quote you : "LOL hahahahahahahaha - when 'proving' your maths you could at least PRETEND it adds up!"

Seeing as though you so vehemently dispute they add up to 32.4999, I simply asked you what value they do add up to ? You failed to answer

You asked how I came to 7.3845 for the area of the orange shape and I complied. How about you doing the same now and showing us how the sum of the 4 areas do not add up to 32.4999 ?

Here are those numbers again for you

Red triangle = 12.3076 sq units
Green triangle = 4.8078 sq units.
Orange shape = 7.3845 sq units
Lime shape = 8.0000 sq units
-------------
32.4999 sq units

What do you say they do add up seeing as though you found it so laughable they do not add up to 32.4999 ?

-- Fortune Green,

Do you mind dreadfully if we wait a while for MotorMouth to catch up first of all with the original triangle; before we come onto the re-arranged one ? I am of course assuming you agree my first triangle is a true right angle triangle and all the sub-shapes fit properly.

Once we can agree the first triangle I promise you this thing can be resolved.

[oliver]

AtW: A pretty feeble attempt to extend the life of this thread. You're gonna have to do better than that ol' man.


Well first of all do those 4 numbers add up to 32.4999 or not ?
You said of that and I quote you : "LOL hahahahahahahaha - when 'proving' your maths you could at least PRETEND it adds up!"

Seeing as though you so vehemently dispute they add up to 32.4999, I simply asked you what value they do add up to ? You failed to answer

You asked how I came to 7.3845 for the area of the orange shape and I complied. How about you doing the same now and showing us how the sum of the 4 areas do not add up to 32.4999 ?

Here are those numbers again for you

Red triangle = 12.3076 sq units
Green triangle = 4.8078 sq units.
Orange shape = 7.3845 sq units
Lime shape = 8.0000 sq units
-------------
32.4999 sq units

What do you say they do add up seeing as though you found it so laughable they do not add up to 32.4999 ?

-- Fortune Green,

Do you mind dreadfully if we wait a while for MotorMouth to catch up first of all with the original triangle; before we come onto the re-arranged one ? I am of course assuming you agree my first triangle is a true right angle triangle and all the sub-shapes fit properly.

Excellent.

I was referring DIMWIT to the fact that your excruciatingly pointless and anal calculations do not even add up to the area of the triangle.

All you proved with your idiot calculations is that...

1. You can't add up

2. You proved your OWN assertion that the shapes can be rearranged into another triangle is complete garbage.

You proved yourself wrong - do you get it?

What do you say they do add up seeing as though you found it so laughable they do not add up to 32.4999

Your use of English is as bad as your attempts at maths and I think I will have to say it very slowly...I don't dispute that your figures add up to 32.4999 but I find it funny that this does not match the area of the triangle.

[oliver]

Once we can agree the first triangle I promise you this thing can be resolved.

It would be quicker and easier if you read and understood the recent previous posts explaining to you in simple terms how your shapes cannot be rearranged into another triangle but don't let logic get in the way of your ongoing public humiliation.

[BobTheCrate]

Oliver,

Well you did a pretty good impression of saying those 4 numbers didn't add up to 32.4999.

Anyway,
I said the area of the original triangle from which those shapes form is 32.50 sq units - are you arguing so vehemently about 0.0001 sq units ?

Are you disputing the 32.50 sq units of the large triangle, or are are you disputing either or all of the calculated areas of the sub-shapes ?

If you weren't such an obnoxious little prat this thing would have been resolved yonks ago.

You're thread could still be in with a shout AtW !