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M8Adv Video Lesson 7-3 Coordinate Pythagorean Theorem

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M8Adv Video Lesson 7-1 Pythagorean Theorem

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M8Adv Video Lesson 7-2 Pythagorean Theorem Applications

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What is the Pythagorean Theorem?

You can learn all about the Pythagorean Theorem, but here is a quick summary:

The Pythagorean Theorem says that, in a right triangle, the square of a (which is a×a, and is written ) plus the square of b () is equal to the square of c ():

Proof of the Pythagorean Theorem using Algebra

Take a look at this diagram ... it has that "abc" triangle in it (four of them actually):

Area of Whole Square

It is a big square, with each side having a length of a+b, so the total area is:

A = (a+b)(a+b)

Area of The Pieces

Now let's add up the areas of all the smaller pieces:

Both Areas Must Be Equal

The area of the large square is equal to the area of the tilted square and the 4 triangles. This can be written as:

NOW, let us rearrange this to see if we can get the pythagoras theorem:

DONE!

Now we can see why the Pythagorean Theorem works ... and it is actually a proof of the Pythagorean Theorem.

This proof came from China over 2000 years ago!

There are many more proofs of the Pythagorean theorem, but this one works nicely.

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You can learn all about the Pythagorean Theorem, but here is a quick summary: The Pythagorean Theorem says that, in a right triangle, the square of a (which is a×a, and is written ) plus the square of b () is equal to the square of c (): Take a look at this diagram ...

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Lessons for Understanding the Converse of the PT

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Lessons for Understanding the Converse of the PT

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BBC - GCSE Bitesize: Using Pythagoras in 3D - Higher

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A secondary school revision resource for GCSE Maths about using Pythagoras' theorem in 3D shapes at a higher level

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3D

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Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more.

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How Do You Find the Length of a Leg of a Right Triangle? | Virtual Nerd

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Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this non-linear system, users are free to take whatever path through the material best serves their needs. These unique features make Virtual Nerd a viable alternative to private tutoring.

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How Do You Find the Distance Between Two Points? | Virtual Nerd

# data[].attributes.attachment_link.description
Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this non-linear system, users are free to take whatever path through the material best serves their needs. These unique features make Virtual Nerd a viable alternative to private tutoring.