[Daily puzzle] Find the ratio \ stacker news ~science

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826 sats \ 8 comments \ @south_korea_ln 26 Oct science

Previous iteration: #739914 (answer in #739973)

Please let me know if you prefer harder or easier problems. I cannot satisfy everyone with every puzzle but I can at least try to alternate difficulties.

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201 sats \ 5 replies \ @SimpleStacker 26 Oct

Is there a unique solution? This is as far as I got

21 sats \ 4 replies \ @Scroogey 26 Oct

I got

which seems to be equivalent.

appears to be 3*45°, but I don't know why.

twice

, the arc length?

1 sat \ 3 replies \ @SimpleStacker 26 Oct

I didn't read it that way, but I was wondering if the fact that the triangle is right-isosceles imposes some kind of additional condition that lets us find

Don't really have the time to work it further right now though. Geometry isn't really my forte.

1 sat \ 2 replies \ @south_korea_ln OP 27 Oct

I need to spend some time myself analyzing your answers, but for

, the inscribed angle theorem should help.

300 sats \ 1 reply \ @Scroogey 27 Oct

Ah, yes!

The two green

have equal lengths.

Hence, the angles in the bottom right corner must be equal.

They both add up to 45°, because the triangle is right-isosceles, hence they are

Now the inscribed angle theorem says

Therefore,

1 sat \ 0 replies \ @south_korea_ln OP 27 Oct

I have

which also

if I'm not mistaken.

Your expression is even simpler.

Good job :)

A GitHub PR for collapsable answers is on its way in next few days. We'll be able to hide spoilers which should increase the fun factor.

21 sats \ 0 replies \ @Undisciplined 26 Oct

I don't have the bandwidth for this one today, but I do like the harder puzzles.

I'll circle back to check on other people's solutions.

0 sats \ 0 replies \ @Scroogey 26 Oct

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