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Trigonometry

- Introduction to Trigonometry

Review of Triangles

- Labeling Triangles
- Vertices
- Sides

A

b

c

C

B

a

Review of Triangles

- Sum of Angles

?A ?B ?C 180?

A

C

B

Review of Triangles

- Sum of Angles

?A ?B ?C 180?

A

?A ? ? 180?

??

??

?A 180? - 70? - 33?

?A 77?

77?

70?

70?

33?

33?

C

B

Types of Triangles

- Scalene
- Isosceles
- Equilateral
- Right

Scalene Triangle

Isosceles Triangle

Sides Opposite the Base Angles are Equal

Base Angles are Equal

Example

5.8 cm

x

5.8 cm

79?

65?

65?

180? - 22?

158?

158?

79?

2

Equilateral Triangles

Example

60?

x

y

60?

4.5

Altitudes

vertex

opposite side

Altitudes in Isosceles Triangles

100?

50?

50?

18

9

9

Altitudes in Equilateral Triangles

??

? ft

25 ft

Right Triangles

hypotenuse

leg

90?

leg

Pythagorean Theorem

hypotenuse

c

leg

a

leg

b

Pythagorean Theorem

- Is this a right triangle?

5.4 cm

1.9 cm

4.9 cm

NO 29.16 isnt equal to 27.62

Pythagorean Theorem

8 ft

8

6 ft

6

?

Example

1.2

4.4

x

Pythagorean Theorem

28 ft

28

?

45

45 ft

Example

x

13 cm

32 cm

Practice Set 1

- Pages 6 8 1 -14 all

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