Are you smarter than a 5th grader question

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The forum discussion centers on the question of how many angles in a scalene triangle have the same number of degrees. Participants debated the validity of the accepted answer of zero, with some arguing that the only reasonable answer is one. A scalene triangle is defined as having three unequal sides and angles, contrasting with isosceles and equilateral triangles. The conversation also touched on the ambiguity of the term "same" in mathematical contexts, suggesting that the question itself may be poorly formulated.

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  • Knowledge of the Reflexive Property of Equality in mathematics.
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DeadWolfe
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The question was how many angles in a scalene triangle have the same number of degrees. They accepted her answer of zero, but I would think that the only reasonable correct answer to that question would be one.
 
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DeadWolfe said:
The question was how many angles in a scalene triangle have the same number of degrees. They accepted her answer of zero, but I would think that the only reasonable correct answer to that question would be one.

If only people spoke in C, or maybe C++ ;)
 
Of course 1 is the same as 1, or a = a, which is the Reflexive Property of Equality. However, I don't believe the meant that.

A scalene triangle is a triangle that has three unequal sides (i.e. three unequal angles, i.e. none the same as either of the other two), as opposed to an isosceles triangle is a triangle with (at least) two equal sides, or an equilateral triangle with three equal sides.
 
I have not heard that word before, or at least its been so long I forgot it.

-scalene
 
DeadWolfe said:
The question was how many angles in a scalene triangle have the same number of degrees. They accepted her answer of zero, but I would think that the only reasonable correct answer to that question would be one.

FrogPad said:
If only people spoke in C, or maybe C++ ;)

Of course, in C++, a 'word' can mean only one thing. English is a different story:

`I don't know what you mean by "glory,"' Alice said.

Humpty Dumpty smiled contemptuously. `Of course you don't -- till I tell you. I meant "there's a nice knock-down argument for you!"'

`But "glory" doesn't mean "a nice knock-down argument,"' Alice objected.

`When _I_ use a word,' Humpty Dumpty said in rather a scornful tone, `it means just what I choose it to mean -- neither more nor less.'

`The question is,' said Alice, `whether you CAN make words mean so many different things.'

`The question is,' said Humpty Dumpty, `which is to be master - - that's all.'

If you're asking how many angles have the same number of degrees, then you're using the 3rd definition, which compares two or more objects. One isn't an option.

same /seɪm/ Pronunciation Key - Show Spelled Pronunciation[seym] Pronunciation Key - Show IPA Pronunciation
–adjective 1. identical with what is about to be or has just been mentioned: This street is the same one we were on yesterday.
2. being one or identical though having different names, aspects, etc.: These are the same rules though differently worded.
3. agreeing in kind, amount, etc.; corresponding: two boxes of the same dimensions.
4. unchanged in character, condition, etc.: It's the same town after all these years.
–pronoun 5. the same person or thing.
6. the same kind or category of thing: You're having steak? I'll have the same, but very rare.
7. the very person, thing, or set just mentioned: Sighted sub sank same.
8. the same, in the same manner; in an identical or similar way: I see the same through your glasses as I do through mine.

In the context of the sentence, 'same' is the same as 'equal' even though it's not the same word. Usage of 'same' is the same as it ever was.
 
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i guess i m not smarter than the 5th grader! i didnt get what u guyz just said
 
My opinion is that the question itself is ill-posed, should be rejected as ugly by a sensical person, and reformulated before any answer can be provided :-p
 
buster said:
i guess i m not smarter than the 5th grader! i didnt get what u guyz just said

BobG is saying that in order to call an object the 'same', you need at least 2 objects. Saying that 1 object is the same is meaningless, the same as what? Whats hard to get about that?
 
What's the difference between a duck?

One of it's legs are the same.

I hope that answers your question. :-p

That's not my joke by the way, I take no responsibility whatsoever for really bad jokes, even if they are used to point out why the OP is being silly.
 
  • #10
Schrödinger's Dog said:
What's the difference between a duck?

One of it's legs are the same.

I hope that answers your question. :-p

:smile:

text[/color]
 
  • #11
Well if 1 isn't an option, then neither is zero.
 
  • #12
cyrusabdollahi said:
I have not heard that word before, or at least its been so long I forgot it.

-scalene

Yeah, I don't remember it either. Here is the definition from the Wolfram website

http://mathworld.wolfram.com/ScaleneTriangle.html

A scalene triangle is a triangle that has three unequal sides, such as those illustrated above.

And I agree with the opinion that if you have three things, and are asked how many of them are equal, the only valid answers are 0, 2, 3.
 
  • #13
berkeman said:
And I agree with the opinion that if you have three things, and are asked how many of them are equal, the only valid answers are 0, 2, 3.

In general, things are considered to be equal to themselves.
 
  • #14
It puzzles me that you don't remember "scalene" but that you do remember "equilateral" for instance, because in my classes, most of the exercises would deal with scalene triangles to begin with. Whenever you want to avoid your student to fall into particular cases, you need to specify not to consider them.

For instance, take the infamous nine-point circle of Euler[/color]. If you construct it with a special triangle, you will not see the beauty of the construction.
 
  • #15
NateTG said:
In general, things are considered to be equal to themselves.

It's a question of comparative congruency ie in comparison to another two angles.

You can't highlight the similarities to something of itself and the differences, unless you're making absurd jokes. :smile:
 
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  • #16
Or "Why I prefer math and science to English".
 
  • #17
dontdisturbmycircles said:
BobG is saying that in order to call an object the 'same', you need at least 2 objects. Saying that 1 object is the same is meaningless, the same as what? Whats hard to get about that?

It could be the same as it always was. It's unchanging in other words, but then the right answer would be 3.

Or, if they showed a scalene triangle with an obtuse angle, the right answer could be 2. Two of the angles belong to the same category - acute triangles.

Using 'same' is a poor choice of words for a geometry question. Almost any answer could be right depending on how you interpreted 'same'. (Well, 4 would probably be a really bad answer - that would take a lot of creativity to justify. Pi probably wouldn't be an appropriate answer, either. In fact, the probability of a 'right' answer is pretty close to 0.)
 

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