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alright, you are all thinking in terms of events to relate to; however, I am speaking about mathematical principles. Maybe a better way to look at it, is find a triangle where a^2 + b^2 = does not equal c^2. Triangles are a bit easier to think of.

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There are three ways to make the following statement true.

This sentence has ____ letters.

This sentence has 22 letters.

This sentence has thirty-one letters.

This sentence has some letters.

edit: Which, of course, you already got. I just got here late and wanted to feel clever.

Edited by Grayven
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alright, you are all thinking in terms of events to relate to; however, I am speaking about mathematical principles. Maybe a better way to look at it, is find a triangle where a^2 + b^2 = does not equal c^2. Triangles are a bit easier to think of.

Assuming "c" is the hypothenuse, I will agree whole-heartedly! :D

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There are three ways to make the following statement true.

This sentence has ____ letters.

This sentence has ten letters.

As in "t" is a letter, "h" is a different letter, "i" is a different letter, "s" is a different letter, "e" is a different letter, ...

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This sentence has ten letters.

As in "t" is a letter, "h" is a different letter, "i" is a different letter, "s" is a different letter, "e" is a different letter, ...

it would have to be "ten distinct" or "ten different," but good idea. That never even occurred to me.

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alright, you are all thinking in terms of events to relate to; however, I am speaking about mathematical principles. Maybe a better way to look at it, is find a triangle where a^2 + b^2 = does not equal c^2. Triangles are a bit easier to think of.

That is only true for right triangles. For example, there can certainly be a triangle of sides 2 x 2 x 2, where a^2 + b^2 = does not equal c^2

Oops, been done (after looking up definition of hypotenuse).

Edited by xucam
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lol! while those are all really clever....i think JC was looking for a numerical answer.

This sentence has MORE THAN TWO letters. This sentence has MORE THAN THREE letters. This sentence has MORE THAN FOUR letters. Etc., etc.

exactly 29

exactly thirty-nine

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Oops, been done (after looking up definition of hypotenuse).

That is only true for right triangles. For example, there can certainly be a triangle of sides 2 x 2 x 2, where a^2 + b^2 = does not equal c^2

Even that presupposes the use of Euclidean geometry on a planar surface. If you are drawing your triangles on the surface of a globe, then all three corners can be right angles. If you think of a right angle at the north pole with its hypotenuse running parallel to the equator, it's easy to visualize that the length of the hypotenuse at the 45th parallel north (half-way to the equator) would be the same length as the hypotenuse at the 45th parallel south (half-way between the equator and the south pole), only the sides would be much longer for the latter triangle!

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alright, you are all thinking in terms of events to relate to; however, I am speaking about mathematical principles. Maybe a better way to look at it, is find a triangle where a^2 + b^2 = does not equal c^2. Triangles are a bit easier to think of.

Assuming "c" is the hypothenuse, I will agree whole-heartedly! :D

Oops, been done (after looking up definition of hypotenuse).

That is only true for right triangles. For example, there can certainly be a triangle of sides 2 x 2 x 2, where a^2 + b^2 = does not equal c^2

Even that presupposes the use of Euclidean geometry on a planar surface. If you are drawing your triangles on the surface of a globe, then all three corners can be right angles. If you think of a right angle at the north pole with its hypotenuse running parallel to the equator, it's easy to visualize that the length of the hypotenuse at the 45th parallel north (half-way to the equator) would be the same length as the hypotenuse at the 45th parallel south (half-way between the equator and the south pole), only the sides would be much longer for the latter triangle!

I have an aunt in Durhan and one in Bournmouth and one at Southend-on-sea. These all make a triangle too (also on a globe)

What has this all to do with the OP?

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