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# 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.

Objective- To solve problems involving the Pythagorean Theorem.

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### 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

### Objective- To solve problems involving the Pythagorean Theorem.

For Right Triangles Only!

hypotenuse

c

a

b

a

b

### Objective- To solve problems involving the Pythagorean Theorem.

For Right Triangles Only!

Pythagorean Theorem

c

a

b

Solve for x.

x

6

8

Solve for y.

7

4

y

Solve for t.

6

t

15

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.

a

b

c

a

b

c

c

b

c

a

b

a

a

b

c

a

b

c

a

b

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b

c

a

b

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b

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a

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c

a

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b

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b

c

a

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c

a

b

a

a

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b

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b

c

a

a

c

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b

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b

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b

c

a

a

b

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a

c

a

b

a

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c

b

a

b

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a

c

a

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c

b

a

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a

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a

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a

b

b

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c

b

a

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a

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a

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a

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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