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).
Wouldn’t it be A^2, not 2A?
I was starting to think no one was going to speak up! 🤠
Get out of my notes
This is indeed the answer. I will write out the equations when I have a bit more time.
Can you write out some of the equations? pretty please lol
Good job!
I finally got it. It took me a while to see that E = 3/4 B.
I don't remember needing this! To be honest, I'm not entirely sure the result is correct 🤠
There may have been other ways to incorporate that information, but I ended up with the same answer as you.
Right! So math is all about rules, but sometimes there are sneaky shortcuts. I like it!
what is the answer? what is the key to the problem that I am not seeing?
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 :(
Following on this comment, #716461, I gave myself 5 minutes to try and solve the puzzle. I couldn't do it :(
solution:
you can also eye ball it
Do we know anything about the full shape?
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.
I think it works for any rectangle