Solving Semi-circle Inside Triangle Geometry Problem

[mathman]

TL;DR

AI cannot do geometry!

Gave following to bing chat and chatgpt, Both gave wrong answers. Any thoughts?
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Geometry problem: Semi-circle inside triangle: Triangle with known length sides a, b, c where a is the longest. Place inside the triangle a semi-circle with entire diameter resting on side a, which is horizontal. The arc of the semicircle is maximum possible inside the triangle.
Known - triangle dimensions. Unknown r (semi-circle arc radius) and x (distance along a from left end of a to center of diameter). Find equations for r and x In terms of all possible triangles.

 

[Greg Bernhardt]

You'll likely need to wait for the Wolfram Alpha plugin to get out of early access for more confident math results.

 

[Vanadium 50]

TL;DR Summary: AI cannot do geometry!

Any thoughts?

Certainly, despite the "AI" claim, ChatGPT doesn't have any.

 

[Vanadium 50]

There are over a dozen threads here of the form "ChatGPT gets this wrong!" "And this!" "And this too!". To me the surprise isn't that it gets things wrong; it's that it sometimes gets them right.

Maybe it would be best to consolidate all these threads.

 

[russ_watters]

There are over a dozen threads here of the form "ChatGPT gets this wrong!" "And this!" "And this too!". To me the surprise isn't that it gets things wrong; it's that it sometimes gets them right.

I'd like to say I was surprised by the surprise, but it's easy to get swept up in the hype. After learning the basics of how it works though, I share your take. Maybe when linked to real knowledge sources/tools (like Wolfram Alpha) it will have some reliability.

 

[Tom.G]

I detect a similarity between ChatGPT hype and the words emitted by a used car salesman.

 

[Vanadium 50]

Except that used car salesmen occasionally have actual cars.

 

[mathman]

My question requires analytic geometry. AI (chatgpt or Bingchat) don;t have it.

 

[Algr]

I asked the AI to give my life purpose, and it didn't know how. I was so disappointed.

 

[mitchell porter]

My question requires analytic geometry. AI (chatgpt or Bingchat) don;t have it.

If you want to be more systematic in testing their capabilities, you should try first asking them elementary questions about the constructions in your problem, and then gradually make the task more difficult.

 

[TonyStewart]

You'll likely need to wait for the Wolfram Alpha plugin to get out of early access for more confident math results.

why wait https://www.wolframalpha.com/downloads.

ChatGPT is easily confused with operators in math as a large language model.

 

[Math100]

I don't think ChatGPT can do geometry, although it can do very simple arithmetics.

 

[Vanadium 50]

If enough people put a proof on the web, ChatGPT can echo it back.

In the words of John Entwistle:

Everything I do has been done before
Every sentence in my head,
Someone else has said.

 

[pinball1970]

possibly help with miscommunication regarding Covid vaccines

https://pubmed.ncbi.nlm.nih.gov/37428336/