Has anyone figured out the Pythagorean Theory?

Question

What the heck is the Pythagorean Theory?

Answer 1

pertaining to right angled triangles where c is the hypoteneuse
a squared + b squared = c squared

Answer 2

Pythagorean theory is the concept that given a right angled triangle i.e a triangle where one angle in 90 degrees, it is possible to calculate one side given the other two or calculate two sides given only one. It revolves around the concept that a squared = b squared + c squared given a= hypotenuse i.e side opposite right angle, always the longest and b and c = opposite and adjacent. Or alternatively b or c squared - a squared - b or c squared, if you are calculating b, you must take c squared away from a squared and vice versa. If you are ever given only the hypotenuse and it is said that the opposite and adjacent are equal, it is possible to rationalise that if a squared = b squared + c squared and b=c, b and c = the square root of half of a squared! It is also possible to prove that a triangle is right angled using this concept in a reverse, known as the converse of the pythagorean theorem. You must be careful because this theorem only applies to right angled triangles and the hypotenuse is always longer than the opposite or adjacent individually but shorter than the two combined!

Answer 3

The pythagorean theoram is a theoram that has a^2 + b^2 =c^2. First you have to add a^2 and b^2 together. That equals c^2. Then you have to find the square root of the sum of a^2 and b^2. That is c. You need to find the hypotenuse of the triangle which is C which is the longest side of the triangle.

Answer 4

The two above are correct...Pythagorean Theorem states that the square of the hyphotenuse of right triangle is equals the sum of the square of the two sides...or c^2 = a^2 + b^2..

But how did it originate?

Originally, and proven also that: the area of square who's one side is the hyphotenuse is equals to the sum of the two areas who's sides form the altitude and base of the right triangle respectively..

try it out there thru drawing the above...hope i explain to you.

Answer 5

The Pythagorean theorem is a geometry formula. It says that in a right triangle, if you label the two sides that comprise the 90-degree angle as "A" and "B," and label the hypotenuse as "C," then (A) squared + (B) squared = (C) squared.

Answer 6

c^2 = a^2 + b^2

You can test it yourself with a piece of string or a ruler.

Just remember it only applies to planar space and not to spherical space.

c^2 < a^2 + b^2 for spheres

I should add the lower equation is called the Greenwaldian Theorem. Recently named after Sarah Greenwald.

Answer 7

Pythagoras did

Answer 8

No.