Is a turnover the same size as half of a layer cake (cut diagonally)?
Thanks.
Karen
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Is a turnover the same size as half of a layer cake (cut diagonally)?
Thanks.
Karen
No, they are much smaller.
I believe the turnovers are 6" on the 2 equal sides.
Aren't they equilateral triangles and 6" on all three sides?Quote:
Originally Posted by K. McEuen
They are half square. This is equilateral . Equilateral Triangle -- from Wolfram MathWorldQuote:
Originally Posted by Susann
No, they are right triangles.Quote:
Originally Posted by Susann
And this is why I hated geometry!
Equilateral is all three sides same length & angle. Aren't all three sides 6 inches which would make all the same length?
Right triangle just means that one angle is 90 degrees. The other two may/or may not be the same degree angle and may/may not have the same size.
No. They are a square cut in half diagonally. Two sides are equal, one side is longer.Quote:
Originally Posted by Susann
I just answered my own question. Layer cakes are 10" squares, so the triangle would be 10" on all sides. Turnovers are 6". I couldn't find size information until I did some searching. There would be quite a bit of waste if I tried to create turnovers from layer cakes. Lots of designs are in layer cakes and charms but not in turnovers.
Maybe this will help
100 Days ? Week of Tools ? Cutting Simple Shapes Tutorial | The Modern Quilt Guild
Fold a 10" square in half diagonally and measure the folded side. You will see that it is longer than 10" .Quote:
Originally Posted by OhioKaren
Ummm. Geometry is a long time ago, but I think for a right triangle (i.e., one with a 90 degree angle) the square on the hypotenuse equals the sum of the square on the other two sides. So if layer cakes are 10 inches square, & you cut on the diagonal ...um...10 squared is 100, times two for sum of two sides, = 200; square root of 200 is ...er ... According to Google, 14.14 inches. So a diagonal half of a layer cake would be 14.14 (approx) inches on long side.Quote:
Originally Posted by K. McEuen
But like I said, it's a long time ago. Aren't there any math teachers on the forum?
That sounded like the scarecrow from the Wizard of Oz.:lol:Quote:
Originally Posted by Claire OneStitchAtATime
What, the scarecrow doesn't remember much geometry either? :).Quote:
Originally Posted by Hulamoon
Hey, you don't have to tell me. I'm not one of the ones saying turnovers are equal on all three sides. I took geometry ...
I didn't mean to be telling you -- just adding to the information you provided, & thinking you might be able to confirm that I was on the right track :). I'd be the first to say nobody should rely on my math. I always make someone else calculate the tip in a restaurant!Quote:
Originally Posted by K. McEuen
No, it came to him in an epiphany. Me, I moved to much and never took geometry. Then became a baker and had to learn fractions of all things.Quote:
Originally Posted by Claire OneStitchAtATime
I liked geometry in high school, but I would have made more effort to remember it if I had known it would be so useful for something I actually wanted to do, like quilting!Quote:
Originally Posted by Hulamoon
When you cut a 10" square in half from corner to corner, you get two right triangles which have 2 sides 10" long and the third side is longer (don't make me figure the square root of 200...please...I don't have that calculator handy) A 6" square cut in half from corner to corner would give you 2 triangles which have 2 sides 6" long and a third side longer (square root of 72). They are NOT equilateral triangles.
I have seen some Moda slices" these are 1/2 of a layer cake.
Yes, slices are 10" triangles. 10" on 2 sides and 14.4" on the bias (hypotenuse)Quote:
Originally Posted by stationarymom
6" triangles are 8.48" on the bias
5" are 7.07" on the bias
Turnovers are not equilateral triangles. They are right angle triangles where the 2 legs are 6 inches and the 3rd side, the hypotenuse length is approximately 8.5 inches. The right angle triangle has one 90 degree angle. The other angles can vary, depending on the length of the other 2 legs.Quote:
Originally Posted by Susann
To clarify, equilateral triangles are those whose angles are all the same. - 60 degrees. We commonly refer to them as 60 degree triangles. In equilateral triangles the sides are all the same length.
(Yes, I'm kind of a math geek.)
And just to confuse everybody more: If you have a right angle triangle with the legs of the triangles the same length, the two angles will be 45 degrees. Which of course is the case for turnovers. :)Quote:
Originally Posted by Midge
I'm getting a migraine :icon_sniff:
Just kidding! :icon_rofl:
So to get back to precuts --sounds like you could combine layer cakes & slices. But the turnovers don't have a precut square that goes with them easily. Right?
I was losing my nerve about tackling the broken dishes pattern, but all this geometry review makes me think I can handle it! If I get stuck, I can always ask you guys.:)
Thanks for the link. I need this!!! Bookmarking it.Quote:
Originally Posted by Hulamoon
I want the donkey with the rainboots fabric! lolQuote:
Originally Posted by MariaNaito
Attachment 82663
Enough said!!
Anyone need a ruler?
When you sew together those two 6" triangles by the diagonal, you get squares that are slightly over 5", so it seems it wouldn't be too difficult to square them up at 5" and combine them with charms. Just my 2 cents.Quote:
Originally Posted by Claire OneStitchAtATime
Attachment 82692 Oh math... hard for animals too!
I was forgetting seam allowance! Silly me.Quote:
Originally Posted by lourixe
