# The Pythagorean Theorem And Its Evidence

This is a very Complex Topic and will take a good explanation and examples to prove the Formula,The Evidence of Your work, and the Evidence of Garfield's Evidence

• The definition of the Pythagorean Theorem - The Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Now If the photo U see a(n) "a, b, and c" Those represent the side's The a (and) the b represent the shortest length of the triangle. And C would represent the longest side called the hypotenuse

-The Formula of The Pythagorean Theorem is a^2+b^2=c^2 As shown In the bottom of the 2nd picture.

• The Triangle MUST I repeat MUST be a right triangle and only a right triangle doesn't matter how it look or is drawn as long as It is a right triangle you will be good!

Now here's a example (problem) of the theorem

• In the picture shown above it show a right triangle and its measurements "a and b" But not "c". Given the 2 measurements a=3 and b=4 We can solve for c.
• Now we will square 3 and 4. Which will leave: 9 and 16 Another thing We cant leave the answer 25. Here's a tip of knowledge To get the final answer, We will have to square root 25 and c^2 to get c by itself
• After square root 25 and c^2 we get c=5

• Now Before I finish, I will discuss (a little bit) about A famous Mathematics that change the triangle world FOREVER

James Garfield!!!!!

• In the picture below It show's the work involved in The evidence of Garfield

• Now I have discuss all that can I can do and help I will make more Discuss Topic Every Friday Next week Will be ................................................... Linear Algebra!!!!!!

Note by Noah Smalls
3 years, 5 months ago

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