To view this presentation, you'll need to enable Flash.

Show me how

After you enable Flash, refresh this webpage and the presentation should play.

Loading...

PPT – The Pythagorean Theorem PowerPoint presentation | free to view - id: 43bf4-NDNjY

The Adobe Flash plugin is needed to view this content

View by Category

Presentations

Products
Sold on our sister site CrystalGraphics.com

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

The Pythagorean Theorem

a2 b2 c2

- A Geometric Approach

Every right triangle consists of 2 legs and a

hypotenuse.

hypotenuse

leg

hypotenuse

leg

leg

hypotenuse

leg

leg

leg

The hypotenuse is the longest side in a right

triangle and it is opposite the right angle.

hypotenuse

leg

hypotenuse

leg

leg

hypotenuse

leg

leg

leg

Consider the following right triangle

5 in

3 in

4 in

Lets build squares off each of the 3 sides in

the triangle.

5 in

3 in

4 in

5 in

3 in

4 in

5 in

3 in

4 in

5 in

3 in

4 in

Now lets find the area of each square.

5 in

5 in

3 in

4 in

3 in

4 in

Now lets find the area of each square.

5 in

5 in

3 in

4 in

3 in

4 in

Now lets find the area of each square.

5 in

5 in

9 in2

4 in

4 in

Now lets find the area of each square.

5 in

5 in

9 in2

16 in2

Now lets find the area of each square.

25 in2

9 in2

16 in2

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

25 in2

9 in2

16 in2

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

25 in2

9 in2

16 in2

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

25 in2

9 in2

16 in2

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

25 in2

9 in2

16 in2

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

25 in2

9 in2

16 in2

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

25 in2

16 in2

9 in2

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

25 in2

16 in2

9 in2

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

The Pythagorean Theorem states that the sum of

the areas of the two smaller squares should equal

the area of the larger square.

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

? in

9 in

12 in

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

Find the area of each square that can be built

off each leg.

? in

9 in

12 in

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

Find the area of each square that can be built

off each leg.

? in

81 in2

9 x 9

9 in

12 in

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

Find the area of each square that can be built

off each leg.

? in

81 in2

9 x 9

9 in

12 in

144 in2

12 x 12

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

? in2

? in

81 in2

9 x 9

9 in

The sum of the areas of these 2 squares should

equal the area of the third square.

12 in

144 in2

12 x 12

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

? in2

? in

81 in2

9 x 9

9 in

The sum of the areas of these 2 squares should

equal the area of the third square.

12 in

144 in2

12 x 12

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

? in2

? in

81 in2

9 in

The sum of the areas of these 2 squares should

equal the area of the third square.

12 in

144 in2

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

? in2

81 in2

9 in

? in

12 in

The sum of the areas of these 2 squares should

equal the area of the third square.

144 in2

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

12 in

? in2

144 in2

81 in2

9 in

? in

The sum of the areas of these 2 squares should

equal the area of the third square.

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

12 in

225 in2

144 in2

81 in2

9 in

? in

The sum of the areas of these 2 squares should

equal the area of the third square.

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

12 in

225 in2

? in

144 in2

81 in2

9 in

? in

? in

If the area of this square is 225 in2, then how

long is each side?

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

12 in

? in

225 in2

144 in2

81 in2

9 in

? in

? in

If the area of this square is 225 in2, then how

long is each side?

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

12 in

15 in

225 in2

144 in2

81 in2

9 in

? in

15 in

If the area of this square is 225 in2, then how

long is each side?

Use the Pythagorean Thm. to determine the length

of the hypotenuse.

225 in2

? in

81 in2

15 in

9 in

9 in

12 in

81 in2 144 in2 225 in2

12 in

144 in2

Practice Time!

1)Use the Pythagorean Thm. to determine the

length of the hypotenuse.

? in

12 in

16 in

1)Use the Pythagorean Thm. to determine the

length of the hypotenuse.

? in2

? in

? in

144 in2

12 x 12

12 in

9 in

12 in

16 in

256 in2

16 x 16

1)Use the Pythagorean Thm. to determine the

length of the hypotenuse.

400 in2

? in

? in

144 in2

12 in

9 in

12 in

16 in

144in2 256in2 400in2

256 in2

1)Use the Pythagorean Thm. to determine the

length of the hypotenuse.

400 in2

? in

? in

144 in2

20 in

12 in

12 in

9 in

16 in

12 in

16 in

144in2 256in2 400in2

256 in2

2)Use the Pythagorean Thm. to determine the

length of the hypotenuse.

? in

8 in

10 in

2)Use the Pythagorean Thm. to determine the

length of the hypotenuse.

? in2

? in

64 in2

8 x 8

8 in

12 in

9 in

12 in

10 in

16 in

100 in2

10 x 10

2)Use the Pythagorean Thm. to determine the

length of the hypotenuse.

164 in2

? in

64 in2

8 in

12 in

9 in

12 in

10 in

16 in

64in2 100in2 164in2

100 in2

2)Use the Pythagorean Thm. to determine the

length of the hypotenuse.

164 in2

64 in2

12.8 in

8 in

12 in

9 in

8 in

10 in

12 in

10 in

16 in

64in2 100in2 164in2

100 in2

3)Use the Pythagorean Thm. to determine the

length of the hypotenuse.

? in

6 in

11 in

3)Use the Pythagorean Thm. to determine the

length of the hypotenuse.

? in2

? in

36 in2

6 x 6

6 in

8 in

12 in

9 in

12 in

11 in

10 in

16 in

121 in2

11 x 11

3)Use the Pythagorean Thm. to determine the

length of the hypotenuse.

157 in2

? in

36 in2

6 in

8 in

12 in

9 in

12 in

11 in

10 in

16 in

36in2 121in2 157in2

121 in2

3)Use the Pythagorean Thm. to determine the

length of the hypotenuse.

157 in2

? in

36 in2

12.5 in

6 in

6 in

8 in

12 in

9 in

11 in

12 in

11 in

10 in

16 in

36in2 121in2 157in2

121 in2

4)Use the Pythagorean Thm. to determine the

length of the leg.

Caution This problem is a little different

because you have to find the leg, not the

hypotenuse.

7 in

? in

5 in

4)Use the Pythagorean Thm. to determine the

length of the leg.

49 in2

7 x 7

6 in

? in2

5 in

6 in

8 in

12 in

9 in

12 in

? in

11 in

10 in

16 in

25 in2

5 x 5

4)Use the Pythagorean Thm. to determine the

length of the leg.

49 in2

6 in

24 in2

5 in

6 in

8 in

12 in

9 in

Note You should be subtracting.

12 in

? in

11 in

10 in

16 in

49in2 - 25in2 24in2

25 in2

4)Use the Pythagorean Thm. to determine the

length of the leg.

49 in2

6 in

24 in2

4.8 in

7 in

5 in

6 in

8 in

12 in

9 in

5 in

12 in

? in

11 in

10 in

16 in

49in2 - 25in2 24in2

25 in2

The End

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Home About Us Terms and Conditions Privacy Policy Presentation Removal Request Contact Us Send Us Feedback

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "The Pythagorean Theorem" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!