User:EdithFan

Hello.

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Pythagorean Theorem

The origin/theory of the Pythagorean Theorem traces back to even Ancient Egypt but it was named after Pythagoras, a Mathematician, for proving said theorem. If one is given a right angle triangle and asked to solve for one of the sides, when given two of the lengths, a simple equation can be used.

$a^{2}+b^{2}=c^{2}$

The sides of the triangle should be labelled as ‘a’ and ‘b’ (or any other letter for that matter) and the hypotenuse should be the sides squared and added together. It could also be used to determine the type of triangle given to you by seeing how $a^{2}$ and $b^{2}$ add up in relationship to $c^{2}$. If the sum of the two squared numbers is greater than $c^{2}$, the triangle is acute; if it is the opposite result then it is obtuse. Some of the applications of this theorem in real life could range from finding the length of a shadow of a tree or the distance traveled if you went west 4 km and south 10 km. There are also different ways to rewrite the equation, depending on which value you are trying to solve.

The different ways goes as:

$b=({\sqrt {(}}c^{2}-a^{2}))$

$a=({\sqrt {(}}c^{2}-b^{2}))$

$c=({\sqrt {(}}a^{2}+b^{2}))$