Geometry puzzle

ceptimus
Posts: 1339
Joined: Wed Jun 02, 2004 11:04 pm
Location: UK

Geometry puzzle

What is x?

geometryPuzzle.gif
You do not have the required permissions to view the files attached to this post.
Abdul Alhazred
Posts: 85937
Joined: Mon Jun 07, 2004 1:33 pm
Title: Yes, that one.
Location: Not quite Chicago

Re: Geometry puzzle

I'll try later.

First line of attack will be to extract the Pythagorean theorem from that diagram somehow.
The arc of the moral universe bends towards chaos.
People who believe God or History are on their side provide the chaos.
Bruce
Posts: 20463
Joined: Wed Jun 09, 2004 11:46 pm
Title: Bruce of all Bruces
Location: Massachusetts

Re: Geometry puzzle

Interesting. The answer must be between 6 and 10. Depends on the degree of overlap in the x and y directions and diameters of the circles. Looks like the degree of overlap in the y direction is 2, but I haven't found a way to solve the other three parameters. Will have to chew on it some more later.
Such potential!
Rob Lister
Posts: 22947
Joined: Sun Jul 18, 2004 7:15 pm
Title: Incipient toppler
Location: Swimming in Lake Ed

Re: Geometry puzzle

pffft. I just measured. It's 8
robinson
Posts: 9514
Joined: Sat Aug 12, 2006 2:01 am
Title: Sweetheart
Location: USA

Re: Geometry puzzle

Yep

Because it’s a square
.........................
robinson
Posts: 9514
Joined: Sat Aug 12, 2006 2:01 am
Title: Sweetheart
Location: USA

Re: Geometry puzzle

The way it’s presented is a trick

It’s the square encompassing the two circles
.........................
ceptimus
Posts: 1339
Joined: Wed Jun 02, 2004 11:04 pm
Location: UK

Re: Geometry puzzle

Nope. It's not a square. There's no trick.

Break out your drawing instruments and draw it as accurately as you can - then you can measure x to a decent degree of accuracy.

Those of you who know how can draw it using a CAD program, and so measure x very accurately.

But the best way is to use mathematics or geometry. It's not that difficult.
Anaxagoras
Posts: 27994
Joined: Wed Mar 19, 2008 5:45 am
Location: Yokohama/Tokyo, Japan

Re: Geometry puzzle

By eyeball x > 8.

Can we assume all angles are right angles?

I don't understand the significance of the line segment of length 6. Is it given that this line is parallel to the others? I.e., that the vertical lines are all parallel and the horizontal lines are perpendicular to the vertical lines? Can we further assume that the line segment of length 6 passes through the point where the two circles touch?
A fool thinks himself to be wise, but a wise man knows himself to be a fool.
William Shakespeare
robinson
Posts: 9514
Joined: Sat Aug 12, 2006 2:01 am
Title: Sweetheart
Location: USA

Re: Geometry puzzle

It has to be a square
.........................
robinson
Posts: 9514
Joined: Sat Aug 12, 2006 2:01 am
Title: Sweetheart
Location: USA

Re: Geometry puzzle

If you square a circle then add another circle, and square them both, its always a square
.........................
robinson
Posts: 9514
Joined: Sat Aug 12, 2006 2:01 am
Title: Sweetheart
Location: USA

Re: Geometry puzzle

I could be wrong

It’s not 8

But it looks like a square
.........................
ceptimus
Posts: 1339
Joined: Wed Jun 02, 2004 11:04 pm
Location: UK

Re: Geometry puzzle

Anaxagoras wrote: Wed Sep 16, 2020 10:30 am By eyeball x > 8.

Can we assume all angles are right angles?

I don't understand the significance of the line segment of length 6. Is it given that this line is parallel to the others? I.e., that the vertical lines are all parallel and the horizontal lines are perpendicular to the vertical lines? Can we further assume that the line segment of length 6 passes through the point where the two circles touch?
Yes x > 8.
The outer rectangle is a true rectangle (right-angled corners and straight sides) with short side length 8.
The two circles are true circles. They touch each other tangentially (just touch without overlapping). One circle tangentially touches one short side and one long side of the rectangle, the other circle tangentially touches the remaining two sides.
The line shown with length 6 is parallel to the short sides of the rectangle. The line's ends are points on the circles, and the line passes through the point where the circles touch.
robinson
Posts: 9514
Joined: Sat Aug 12, 2006 2:01 am
Title: Sweetheart
Location: USA

Re: Geometry puzzle

I know the answer but I cheated. Yeah, not a square
.........................
Abdul Alhazred
Posts: 85937
Joined: Mon Jun 07, 2004 1:33 pm
Title: Yes, that one.
Location: Not quite Chicago

Re: Geometry puzzle

Ten.
The arc of the moral universe bends towards chaos.
People who believe God or History are on their side provide the chaos.
ceptimus
Posts: 1339
Joined: Wed Jun 02, 2004 11:04 pm
Location: UK

Re: Geometry puzzle

Abdul Alhazred wrote: Wed Sep 16, 2020 2:20 pm Ten.
Good guess...
Spoiler:
Anaxagoras
Posts: 27994
Joined: Wed Mar 19, 2008 5:45 am
Location: Yokohama/Tokyo, Japan

Re: Geometry puzzle

Yeah, there may be some principle of geometry that allows one to solve for x, but I don't know what it is.
A fool thinks himself to be wise, but a wise man knows himself to be a fool.
William Shakespeare
ceptimus
Posts: 1339
Joined: Wed Jun 02, 2004 11:04 pm
Location: UK

Re: Geometry puzzle

Anaxagoras wrote: Wed Sep 16, 2020 3:30 pm Yeah, there may be some principle of geometry that allows one to solve for x, but I don't know what it is.
Most people would agree that the Pythagorean theorem is a fundamental part of geometry. As Abdul suggested, the trick with most of these sorts of puzzle is to draw a few lines and then apply Pythagoras. The real trick is to know which lines to draw!
Abdul Alhazred
Posts: 85937
Joined: Mon Jun 07, 2004 1:33 pm
Title: Yes, that one.
Location: Not quite Chicago

Re: Geometry puzzle

ceptimus wrote: Wed Sep 16, 2020 2:45 pm
Abdul Alhazred wrote: Wed Sep 16, 2020 2:20 pm Ten.
Good guess...
Spoiler:
The arc of the moral universe bends towards chaos.
People who believe God or History are on their side provide the chaos.
shemp
Posts: 6724
Joined: Thu Jun 10, 2004 12:16 pm
Title: inbred shit-for-brains
Location: Planet X

Re: Geometry puzzle

Interesting that ceptimus posted this over at ISF this morning and had two correct answers in less than an hour. I'll draw no conclusions.
"It is not I who is mad! It is I who is crazy!" -- Ren Hoek

"what dicking deep shit i produce" -- pillory

Freedom of choice
Is what you got
Freedom from choice
Is what you want

People are shitting themselves to death
Crap so much they fail to take a breath
But even when their kids are starvin'
They thought Trump would throw them Charmin.
Anaxagoras
Posts: 27994
Joined: Wed Mar 19, 2008 5:45 am
Location: Yokohama/Tokyo, Japan

Re: Geometry puzzle

Without looking for the answer I'm going to guess that it's 9, but I can't show my work.

Either that or it's not a whole number.
A fool thinks himself to be wise, but a wise man knows himself to be a fool.
William Shakespeare