Summary
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Unit 3: Pythagoras' Theorem (Online Book)
Pythagoras' Theorem
Overview
This resource contains information which may be used by students for self-directed learning. Teachers may use it to supplement their lessons.
Pythagoras' Theorem
What is this strangely named formula and how does it work? Let's find out.
Go through each section and ensure you have a very good understanding before moving on.
By the end of the lesson students should be able to:
1. identify the parts of a right angle triangle
2. accurately state Pythagoras' Theorem
3. apply Pythagoras' Theorem in calculating the length of the hypotenuse
4. apply Pythagoras' Theorem in calculating the length of any of the shorter sides of the right angle triangle.
Introduction
Let's hear a story about how this theorem came into being!
It is important that we know the parts of the triangle we will be working with. Pay close attention to how to identify the hypotenuse of the triangle.
Before watching the following videos, click on the link below them, "Locating the Hypotenuse", to see if you know how to identify the hypotenuse.
We are now at the stage where we really need to learn about this strangely named formula.
Calculating the Hypotenuse
In this first part of the lesson you will learn how to calculate the length of the longest side of the right angle triangle (hypotenuse).
How is the formula used in calculating the hypotenuse? Pay attention to the steps involved.
Need more guidance? Watch this next video.
There is a document on the next page which summarises what has been demonstrated so far. Take a look if you prefer to read through the process.
Click on the link below to "Test Your Knowledge" before moving on.
Calculating the Shorter Side
So what about the other sides?
How is the formula used in calculating the shorter side? It's the same formula, just used differently, so pay attention.
Need more guidance? Watch this next video.
There is a document summarising what has been demonstrated so far. Take a look if you prefer to read through the process.
Click on the link below to "Test Your Knowledge" before moving on.
Let's Review
Click on the link to have fun and test your knowledge Pythagorean Theorem Jeopardy Game