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Hawaii_Jake's avatar

A^2 + b^2 = c^2 What does it prove?

Asked by Hawaii_Jake (33162points) August 10th, 2010

What does the 47th Proposition of Euclid mean?
That humans can reason?
That the universe is comprehensible?
That mathmatics is based on linear reasoning?
That geometry rules?

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18 Answers

truecomedian's avatar

That two things equal another.

9doomedtodie's avatar

It’s a Pythagoras’ theorem.

Fyrius's avatar

That mathematics are regular in ways you wouldn’t immediately notice?

truecomedian's avatar

Is math the only place to find absolutes?

franzie's avatar

if a b and c are the three sides of a triangle and the angle between a and b is 90 degrees, then a^2 + b^2 equals c^2

LuckyGuy's avatar

You don’t need numbers to see it work. You can use cut out cardboard squares to understand it.

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Fyrius's avatar

@worriedguy
You’d still have to measure the squares to know the combined surface area of the two squares for sides A and B is equal to that of the square for side C. You do need numbers for that.

Unless maybe you paint the two smaller squares and somehow show it takes exactly the same amount of paint to paint the third square, or something.

jfos's avatar

Imagine a right triangle where A = 5, B = 6, and C (the hypotenuse) is unknown.

A^2 + B^2 = C^2
5^2 + 6^2 = C^2
25 + 36 = C^2
61 = C^2
C = sqrt(61)

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Response moderated (Unhelpful)
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roundsquare's avatar

That right triangles are governed by certain rules. More generally, if certain rules are absolutely true, there are often certain truisms that follow that are also absolutely true.

mattbrowne's avatar

Ever need to get large piece of furniture through your door?

truecomedian's avatar

@mattbrowne
is that a metaphor for anal?

Hawaii_Jake's avatar

@truecomedian
No, he’s literally talking about fitting a piece of furniture through a doorway. Math can help there sometimes.

mattbrowne's avatar

@hawaii_jake – Exactly. The activity looks like this |/|

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