Geometry puzzle

 Posts: 1361
 Joined: Wed Jun 02, 2004 11:04 pm
 Location: UK
Geometry puzzle
What is x?
You do not have the required permissions to view the files attached to this post.

 Posts: 86889
 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.
First line of attack will be to extract the Pythagorean theorem from that diagram somehow.
People who believe God or History are on their side provide the chaos.

 Posts: 20502
 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!

 Posts: 23128
 Joined: Sun Jul 18, 2004 7:15 pm
 Title: Incipient toppler
 Location: Swimming in Lake Ed

 Posts: 10445
 Joined: Sat Aug 12, 2006 2:01 am
 Title: Pretty much dead already
 Location: USA
Re: Geometry puzzle
Yep
Because it’s a square
Because it’s a square
still working on Sophrosyne, but I will no doubt end up with Hubris

 Posts: 10445
 Joined: Sat Aug 12, 2006 2:01 am
 Title: Pretty much dead already
 Location: USA
Re: Geometry puzzle
The way it’s presented is a trick
It’s the square encompassing the two circles
It’s the square encompassing the two circles
still working on Sophrosyne, but I will no doubt end up with Hubris

 Posts: 1361
 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.
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.

 Posts: 28303
 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?
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
William Shakespeare

 Posts: 10445
 Joined: Sat Aug 12, 2006 2:01 am
 Title: Pretty much dead already
 Location: USA
Re: Geometry puzzle
It has to be a square
still working on Sophrosyne, but I will no doubt end up with Hubris

 Posts: 10445
 Joined: Sat Aug 12, 2006 2:01 am
 Title: Pretty much dead already
 Location: USA
Re: Geometry puzzle
If you square a circle then add another circle, and square them both, its always a square
still working on Sophrosyne, but I will no doubt end up with Hubris

 Posts: 10445
 Joined: Sat Aug 12, 2006 2:01 am
 Title: Pretty much dead already
 Location: USA
Re: Geometry puzzle
I could be wrong
It’s not 8
But it looks like a square
It’s not 8
But it looks like a square
still working on Sophrosyne, but I will no doubt end up with Hubris

 Posts: 1361
 Joined: Wed Jun 02, 2004 11:04 pm
 Location: UK
Re: Geometry puzzle
Yes x > 8.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?
The outer rectangle is a true rectangle (rightangled 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.

 Posts: 10445
 Joined: Sat Aug 12, 2006 2:01 am
 Title: Pretty much dead already
 Location: USA
Re: Geometry puzzle
I know the answer but I cheated. Yeah, not a square
still working on Sophrosyne, but I will no doubt end up with Hubris

 Posts: 86889
 Joined: Mon Jun 07, 2004 1:33 pm
 Title: Yes, that one.
 Location: Not quite Chicago
Re: Geometry puzzle
Ten.
People who believe God or History are on their side provide the chaos.

 Posts: 1361
 Joined: Wed Jun 02, 2004 11:04 pm
 Location: UK

 Posts: 28303
 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
William Shakespeare

 Posts: 1361
 Joined: Wed Jun 02, 2004 11:04 pm
 Location: UK
Re: Geometry puzzle
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!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.

 Posts: 86889
 Joined: Mon Jun 07, 2004 1:33 pm
 Title: Yes, that one.
 Location: Not quite Chicago
Re: Geometry puzzle
People who believe God or History are on their side provide the chaos.

 Posts: 6785
 Joined: Thu Jun 10, 2004 12:16 pm
 Title: inbred shitforbrains
 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.
"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.

 Posts: 28303
 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.
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
William Shakespeare