Tuesday, July 14, 2009

What kind of math is this A SQUARE + B SQUARE = C SQUARE?

It's loud math.





But A^2 + B^2 = C^2 is the pythagorean theorem.

What kind of math is this A SQUARE + B SQUARE = C SQUARE?
It's the Pythagorean theorem, used to determine the length of a hypotenuse of a right triangle. It's part of Euclidean geometry.
Reply:It;'s algebra, but there is no way to solve it without either values for two of the variables.
Reply:that is the pythagorean theorem.


it is used in finding the measure of the sides of a right triangle.





for example:





3, 4 and 5


3^2 + 4^2 = 5^2


9 + 16 = 25


25 = 25
Reply:That could be geometry or trigonometry. Or even part of a calculus problem.
Reply:Well, it's the Pythagorean theorem, a fact about geometry.





In the days of Pythagoras, geometry was used to prove results in all kinds of mathematics, or at least as much mathematics was then known; "geometry" MEANT "mathematics". But now that's not the case.





On the other hand, that formula is central to the mathematical definition of "distance", and hence lies at the heart of various areas of mathematics, from statistics to "linear algebra" to "differential geometry". It's also pretty central to trigonometry.
Reply:That is the pythagoras' theorem. We use it to find the length of a side of a right angled triangle.(i.e 1 angle is 90 degree)


The longest side is called the hypotenuse. In this case it is C.


We can use this to find a side of two sides of a right angled triangle is given.


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