## Another geometry puzzle

Stump your fellow simians.
ceptimus
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Location: UK

### Another geometry puzzle

Find the angle ϴ

triangle.png
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ceptimus
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### Re: Another geometry puzzle

Abdul Alhazred wrote: Mon Sep 28, 2020 9:47 pm Aren't the big one and the little one similar triangles?

I'll go with that == 20 degrees.
Spoiler:
Witness
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### Re: Another geometry puzzle

30°.
Witness
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### Re: Another geometry puzzle

Abdul Alhazred wrote: Wed Sep 30, 2020 12:41 pm How did you get there?
https://en.wikipedia.org/wiki/Law_of_sines
ceptimus
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### Re: Another geometry puzzle

Here's the way I did it, just using basic geometry.
Spoiler:
Bruce
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Location: Massachusetts

### Re: Another geometry puzzle

Brucetta requested 1/4 slice of pizza. Bruce gives her 1/3 slice of pizza. Brucetta says that's too much. What fraction of pizza will Bruce have to remove from the 1/3 slice of pizza to leave her with 1/4?

Bonus questions! How long will it take for Bruce and Mrs. Bruce to argue over the best means solve this puzzle? How long will the argument last before Brucetta says, "Forget about it! I'll just eat the whole 1/3! "
Such potential!
Witness
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### Re: Another geometry puzzle

Bruce wrote: Sun Nov 22, 2020 5:50 pm Brucetta requested 1/4 slice of pizza. Bruce gives her 1/3 slice of pizza. Brucetta says that's too much. What fraction of pizza will Bruce have to remove from the 1/3 slice of pizza to leave her with 1/4?
1/12. You're joking, right?
Bruce wrote: Sun Nov 22, 2020 5:50 pm Bonus questions! How long will it take for Bruce and Mrs. Bruce to argue over the best means solve this puzzle? How long will the argument last before Brucetta says, "Forget about it! I'll just eat the whole 1/3! "
Till late into the night, especially after lights out.

Brucetta will behave for 30 seconds (standard case) to 1 minute (on a good day).

Did I win?
Bruce
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### Re: Another geometry puzzle

Such potential!
gnome
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### Re: Another geometry puzzle

Witness wrote: Sun Nov 22, 2020 7:29 pm
Bruce wrote: Sun Nov 22, 2020 5:50 pm Brucetta requested 1/4 slice of pizza. Bruce gives her 1/3 slice of pizza. Brucetta says that's too much. What fraction of pizza will Bruce have to remove from the 1/3 slice of pizza to leave her with 1/4?
1/12. You're joking, right?
Trick question. Regardless of the amount chosen, it will either be too much removed or too little removed.

In fact, it can be mathematically proven in R2 that the odds of slicing it at exactly the correct mark is literally zero.
"If fighting is sure to result in victory, then you must fight! Sun Tzu said that, and I'd say he knows a little bit more about fighting than you do, pal, because he invented it, and then he perfected it so that no living man could best him in the ring of honor. Then, he used his fight money to buy two of every animal on earth, and then he herded them onto a boat, and then he beat the crap out of every single one. And from that day forward any time a bunch of animals are together in one place it's called a zoo! (Beat) Unless it's a farm!"
--Soldier, TF2
Witness
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### Re: Another geometry puzzle

↑ You mean like the probability of choosing any real number?
Bruce
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### Re: Another geometry puzzle

Perfect excuse to keep the whole pizza to myself.
Such potential!
Rob Lister
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### Re: Another geometry puzzle

Zeno might submit that there is no way to provide 1/4th a slice.
ceptimus
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Location: UK

### Re: Another geometry puzzle

What's the volume of a circular pizza with radius z, and height a?
gnome
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### Re: Another geometry puzzle

V=πz2a
"If fighting is sure to result in victory, then you must fight! Sun Tzu said that, and I'd say he knows a little bit more about fighting than you do, pal, because he invented it, and then he perfected it so that no living man could best him in the ring of honor. Then, he used his fight money to buy two of every animal on earth, and then he herded them onto a boat, and then he beat the crap out of every single one. And from that day forward any time a bunch of animals are together in one place it's called a zoo! (Beat) Unless it's a farm!"
--Soldier, TF2
ceptimus
Posts: 1401
Joined: Wed Jun 02, 2004 11:04 pm
Location: UK

### Re: Another geometry puzzle

Yes, or in plain ASCII, V = Pi z z a
Rob Lister
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Title: Incipient toppler
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### Re: Another geometry puzzle

What is the most cost effective size of a pizza hut pizza.
gnome
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Location: New Port Richey, FL

### Re: Another geometry puzzle

Without looking, almost always the largest size.
"If fighting is sure to result in victory, then you must fight! Sun Tzu said that, and I'd say he knows a little bit more about fighting than you do, pal, because he invented it, and then he perfected it so that no living man could best him in the ring of honor. Then, he used his fight money to buy two of every animal on earth, and then he herded them onto a boat, and then he beat the crap out of every single one. And from that day forward any time a bunch of animals are together in one place it's called a zoo! (Beat) Unless it's a farm!"
--Soldier, TF2
ceptimus
Posts: 1401
Joined: Wed Jun 02, 2004 11:04 pm
Location: UK

### Re: Another geometry puzzle

I would say the zero-size pizza hut pizza (i.e. don't buy one from there) is the most cost-effective solution. Instead, buy one from a supermarket and warm it up yourself.
Doctor X
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### Re: Another geometry puzzle

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