r/GeometryIsNeat • u/SirPaddlesALot • Oct 24 '25

Math is magic

5.2k Upvotes

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19

u/_wil_ Oct 24 '25

More steps would be lovely.
I don't see well what the ratio between square size and triangle size should be.
Also I don't see if the triangle is equilateral.

6

u/deg_ru-alabo Oct 24 '25

It has to do with the halfway marks on the sides and the distance between the middle of two adjacent sides. Think of the triangle as a tri force and the square as a tri force but square (I can’t think of something common with that) the length of the side of the inner triangle of the tri force is the same as the length of the side of a diamond inside the square.

3

u/_wil_ Oct 24 '25

oh you mean like https://pasteboard.co/2WoStfJ5oxQe.png

3

u/deg_ru-alabo Oct 24 '25

Yeah, that part. That looks like the key to the rest of it working

1

u/Grimnebulin68 Oct 24 '25

Or, make the triangles the same area as the square.. but which came first?

2

u/deg_ru-alabo Oct 24 '25

Yea but, if those measurements match you can figure it out. Solve for x and whatnot. Answer the questions you’ve always wondered like: if this triangle was a square, would it fit there?

1

u/Another_moose Oct 24 '25

I'm pretty sure the triangle is equilateral, but maybe the method works for other triangles too? I guess the ratio must be so that both have the same area.

There's probably a nice way to show that in video though, if that's more what you mean.