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The Pythagorean theorem can be done this way.

a²+b²=c²

lets say that you have a triangle with three sides, but you are only given two. Their values are 3 and 4. Now you have to fill in the values with a=3 and b=4 (doesn't matter which order you put it in)

3²+4²=c²

c is still unknown so we have to do the next step.

3² is 9 and 4² is 16. knowing this, we have to do this next:

9+16=c²

9+16 is 25.

25=c²

now you must get rid of the ². you do this by using the square root.

don't ask me why you square root, that's just how the Pythagorean theorem works.

√25=√c²

the square root gets rid of the c squared so its just the square root of 25.

5=c

triangle sides: 3,4,5

The process can also be reversed.

a²=c²-b²

or

b²=c²-a²

P.S: Please recommend using button below, thank you.

James A. Garfield, the twentieth President of the United States, discovered an original proof of the Pythagorean theorem. The proof is algebraic in nature and uses the formula for the area of a trapezoid. See the link below for details. Garfield is credited with an original proof of this famous theorem. Many of the presidents undoubtedly proved it in geometry class after studying their books.

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8y ago
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8y ago

You may very well have a successful career in several areas without actually using the Pythagorean Theorem. However, it is a useful tool in any subject that deals with space or motion. Moreover, being able to understand its proof is a early step to understanding mathematical reasoning which is vital to solving most problems or arguing points in law. If you do not learn the basic knowledge that has been developed through history, you will be a one-sided individual, more like an animal than a human being. It will definitely reward you to spend a little time now to learn a proof of this famous theorem.

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