Free Algebra Tutoring with Pythagoras Theorem

How to do Pythagoras Theorem

This is a free algebra tutoring session on Pythagoras Theorem.

Trig and Pythagoras are one of the hardest algebra topic to understand.

However, like I just keep going on and on and on about in this site and on my homepage...

There is only one topic that needs to be mastered inside out in order to fully implement these really difficult topics.

So, if you haven't already, if I were you skip back to the sections in basic algebra and consistently work through them.

Pythagoras is about finding the length of a side (from a right angled triangle). Now its all very well, being able to find the length from a triangle, but unfortunately your exam question won't give you a lovely shaped will say something along the lines of:

"A ladder is standing up against a wall. The length from the wall to the top of the ladder is 4m and from the bottom of the wall to the end of the ladder is 3m. Work out the length of the ladder"

Now this is the type of question you will get. Its applying a real life setting to the theory of Pythagoras.


This is a picture of the question above about the ladder and the wall. The picture looks a bit dubious, but I am sure you get the jist how it should look.

Lets take away all the extras and add the numbers in, so that it looks more simpler.

Now using the formula for Pythagoras theorem which states: "In any right-angled triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other sides."

Translating this into a formula and labeling the triangle with a, b and c.

Formula for Pythagoras using a's, b's and c's"


Substituting these numbers (3 and 4) into the formula to give:



Add the numbers to give


Now take the square root of both sides to give:

SQRT c2= SQRT 25

Square root and the square on the left side canel each other out



And thats it. The length of the ladder is 5m.

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