Since we don't make partial blocks, you can either round up or down to the nearest whole one, depending on your design needs.Ĭhoose the measurement that works best for you. Calculate the number of blocks neededįor a patchwork design measuring 100" wide by 110" long, simply divide the finished width and length by 11.312".ġ00" ÷ 11.312" = 8.840 blocks wide 110" ÷ 11.312" = 9.724 blocks long The width of an on-point 8" block is 11.312".Ĭlick here to see it calculated using the formulas from above for proof that our magical Number works. To find the diagonal measurement of Nancy's 8" finished blocks, multiply the side measurement, 8", by the Magic Number, 1.414.
Now we're cookin' with gas! Use the Quilter's Magic Number to find the length of the diagonal of a block In plain English, the diagonal of a square, c, (the same line as the hypotenuse of our right triangle) is 141.4% of the length of a side. Multiply our Magic Number by 100 to convert it to a percentage, like this: We can say it another way and for some it may more sense this way. It represents the ratio of the hypotenuse to the side of a square. For quilting, just round to three-1.414-Really. And I say 'simply' because there's a button on your calculator to find it with a single click.įor a triangle with both short sides equal to 1, substitute 1 into the equation for a and b and do the math:įind the square root of 2 to determine the length of the hypotenuse or c.ĭon't worry. To find c simply calculate the square root. As long as there's a right angle between a and b, the theorem holds true, c equals the length of the diagonal. This sum is equal to the length of the longer side times itself or c².Īll right triangles have this relationship between their sides, whether they are a half square triangles (shown above, right) or half rectangles cut diagonally from corner to corner. In plain English that means multiply the length of one short side times itself (a²). The Pythagorean Theorem states their relationship as. (For us, quilters, it's the length of the diagonal of a square block.) It is opposite the 90° angle and referred to as the hypotenuse. They are adjacent to each other and meet at the 90° angle. A right triangle is one that includes a 90° angle.
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