Question

Pythagoras' Theorem Short Tutorial

Answer 1

\(\huge\color{blue}{~~~~~~~~~What ~ is ~ Phythagoras' ~Theorem?}\)
When a triangle has a right angle (90°) and squares are made on each of the three sides, then the biggest square has the exact same area as the other two squares put together!The legs of a right triangle (the two sides of the triangle that meet at the right angle) are customarily labelled as having lengths "a" and "b", and the hypotenuse (the long side of the triangle, opposite the right angle) is labelled as having length "c".

"Pythagoras' Theorem" can be written in one short equation:
\(\huge\color{orange}{~~~~~~~~~~~~~a^2+b^2 = c^2 }\)

\(\huge\color{purple}{~~~~~~~~~~~~~~~~~~~~~~~~~Notes: }\)
a and b are the other two sides
c is the longest side of the triangle

In a right angled triangle: the square of the hypotenuse is equal to the sum of the squares of the other two sides.

\(\huge\color{blue}{~~~~~~~~~~~~~~~~~~~~~~~~Example:}\)
A "3,4,5" triangle has a right angle in it. Let's check if the areas are the same:
\[3^2 + 4^2 = 5^2\]
Calculating this becomes:
\[9 + 16 = 25\]

\(\huge\color{green}{~~~~~~~~~~~~~~~~~~~~~Why~ Is ~This ~Useful?}\)

If we know the lengths of two sides of a right angled triangle, we can find the length of the third side. (But remember it only works on right angled triangles!)

http://www.purplemath.com/modules/pythagthm.htm

\(\huge\color{brown}{Made~by:~KendrickLamar2014 ]}\)

Answer 2

... and if you want a second opinion:
http://www.1728.org/pythgorn.htm
(plus it has a calculator).

Answer 3

Thanks for that @wolf1728 I appreciate it ^_^

Answer 4

This is just a simple tutorial. No more no less :)

Answer 5

Okay Kendrick - I just felt I'd offer my own thoughts. :-)

Answer 6

Your thoughts are welcomed

Answer 7

Nice, simple tutorial :)

Answer 8

Thanks

Answer 9

Well explained, I believe this is for basic use of the theorem.
Good job!

Answer 10

I liked it

Answer 11

I don't care


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