Pythagorean Theorem

Algebra 1 Tutorial

Pythagorean Theorem


Pythagorean Theorem is over complicated in most class rooms and I want to simplify it. Originally Pythagoras, the guy who is credited with this theorem, was not doing “math” at all. He needed to find distance’s between two points and he stumbled across this proof. Pythagoras found that if he went 3 steps to the right, and 4 steps forward than he traveled 5 steps from his original position. Let me show you how and why this is.

Sample Problem

Try this: Let’s do the problem. Get a piece of paper, a pencil and a ruler.

Mark any point on the paper, this will be the origin (the place we start from). When the point is marked, move three inches in any direction you like. When that line is complete, move either straight up from that line, or straight down, by four inches. You have reached your ending point.

Now measure from the ending point to the origin. You should get 5 inches!

Pythagoras found that 3*3+4*4=5*5 (or 3^2+4^2=5^2)!


Remember the original theorem: a^2+b^2=c^2

Now we know a=3 and b=4


The theorem says to add the two numbers together AFTER they are squared


But that is not 5! Why isn’t it 5? Because we did not find c yet, we found c^2.

Lets look again: a^2+b^2=c^2 and we have 9+16=25 thus 25=c^2.

If we take the square root of 25 we get c=5! Sound familiar?

You can now successfully find any distance between two points if you know two of the sides!

About The Author

Math Tutor (arithmetic, Algebra, Geometry, Trigono
Hello! My name is Spencer Schott. I am currently a junior at SIUE and am working on a bachelors in actuary (math) science. I love to help people struggling with mathematics. Do you have trouble understanding why math functions the way it does? I can help with that! Most mathematics can relate to...
Send Email
8 Subjects
KnowRo Tutor
2 Tutorials
Edwardsville, IL

Suggested Tutors for Algebra 1 Help

Abdul B

Arlington, VA

Math And Science Expert

Stephanie Z

Bethesda, MD

Science Expert And Math Instructor

Tanya G

Chantilly, VA

Economics Instructor

Siddarth C

Vienna, VA

All Subjects

Leave a Comment

Your email address will not be published. Required fields are marked *