[Daily puzzle] Find area of white region \ stacker news ~science

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[Daily puzzle] Find area of white region

2005 sats \ 18 comments \ @south_korea_ln 10 Oct science

The numbers in the triangles indicate the area of the respective triangles.

What is the area of the white region?

Previous iteration: #715890 (answer was indeed $1/\sqrt{2}$, with a nice application of the pigeon-hole principle in #716056).

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41 sats \ 11 replies \ @0xbitcoiner 10 Oct

132 sats \ 1 reply \ @WeAreAllSatoshi 10 Oct

Wouldn’t it be A^2, not 2A?

21 sats \ 0 replies \ @0xbitcoiner 10 Oct

I was starting to think no one was going to speak up! 🤠

32 sats \ 8 replies \ @Undisciplined 10 Oct

Get out of my notes

242 sats \ 7 replies \ @0xbitcoiner 10 Oct

64 sats \ 1 reply \ @south_korea_ln OP 11 Oct

This is indeed the answer. I will write out the equations when I have a bit more time.

0 sats \ 0 replies \ @Bell_curve 10 Nov

Can you write out some of the equations? pretty please lol

232 sats \ 3 replies \ @Undisciplined 10 Oct

Good job!

I finally got it. It took me a while to see that E = 3/4 B.

58 sats \ 2 replies \ @0xbitcoiner 10 Oct

I don't remember needing this! To be honest, I'm not entirely sure the result is correct 🤠

28 sats \ 1 reply \ @Undisciplined 10 Oct

There may have been other ways to incorporate that information, but I ended up with the same answer as you.

27 sats \ 0 replies \ @0xbitcoiner 10 Oct

Right! So math is all about rules, but sometimes there are sneaky shortcuts. I like it!

0 sats \ 0 replies \ @Bell_curve 10 Nov

what is the answer? what is the key to the problem that I am not seeing?

21 sats \ 0 replies \ @Scroogey 10 Oct

If you add a horizontal line where green touches red, and a vertical line where blue touches red, you get

The rectangles double the respective triangles' areas. The answer is 5+4+3 minus the area of the top-left x. But I couldn't solve that :(

21 sats \ 0 replies \ @SimpleStacker 10 Oct

Following on this comment, #716461, I gave myself 5 minutes to try and solve the puzzle. I couldn't do it :(

0 sats \ 0 replies \ @Bell_curve 11 Nov

solution:

you can also eye ball it

0 sats \ 2 replies \ @Undisciplined 10 Oct

Do we know anything about the full shape?

48 sats \ 1 reply \ @south_korea_ln OP 10 Oct

It's a square. I started writing it's a square of side $a$ and then realized the value of $a$ didn't matter, so deleted that. I thus inadvertently also deleted the information about it being a square. Mea culpa.

19 sats \ 0 replies \ @Bell_curve 11 Nov

I think it works for any rectangle