Objective- To solve problems involving the Pythagorean Theorem.

1 / 28

# Objective- To solve problems involving the Pythagorean Theorem. - PowerPoint PPT Presentation

Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only!. - always opposite the right angle. hypotenuse. leg. leg. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only!. hypotenuse. c. a. leg. b. leg.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Objective- To solve problems involving the Pythagorean Theorem.' - omer

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

For Right Triangles Only!

- always opposite

the right angle

hypotenuse

leg

leg

For Right Triangles Only!

hypotenuse

c

a

leg

b

leg

For Right Triangles Only!

hypotenuse

c

a

b

a

b

For Right Triangles Only!

Pythagorean Theorem

c

a

b

Pythagorean Triples

3 4 5

6 8 10

9 12 15

12 16 20

Pythagorean Triples

3 4 5

5 12 13

7 24 25

6 8 10

10 24 26

14 48 50

9 12 15

15 36 39

21 72 75

12 16 20

12

9

15

To the nearest tenth of a foot, find the length

of the diagonal of a rectangle with a width of

4 feet and a length of 10 feet.

x

4 ft.

10 ft.

A car drives 20 miles due east and then 45 miles

due south. To the nearest hundredth of a mile,

how far is the car from its starting point?

20 miles

x

45 miles

Informal Proof #1

Inscribe a square within the square.

Informal Proof #1

a

b

c

a

b

c

c

b

c

a

b

a

a

Informal Proof #1

b

c

a

b

c

a

b

c

c

b

c

a

b

a

a

Informal Proof #1

b

c

b

c

b

c

a

a

c

b

c

a

b

a

a

Informal Proof #1

b

c

b

c

b

c

a

a

b

c

a

c

a

b

a

Informal Proof #1

b

c

c

b

a

b

c

a

c

a

c

a

b

b

a

Informal Proof #1

b

c

a

c

b

b

c

a

b

c

a

c

a

b

Informal Proof #1

a

c

b

b

c

a

c

b

b

a

c

a

c

a

b

Informal Proof #1

a

b

c

c

b

b

a

c

a

c

a

c

a

b

b

Informal Proof #1

a

b

c

c

b

b

a

b

c

a

c

a

c

a

b

Informal Proof #1

a

b

c

c

b

a

b

c

a

c

a

b

Informal Proof #2

a + b

-

Total Purple Yellow

Area Area Area

=

a

b

-

=

c

a

b

c

c

b

c

a

b

a