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Trigonometry. 45° Triangle. By Pythagoras. x 2 = 1 2 + 1 2 . x 2 = 2. x = √2. Let the leg = s. Hypotenuse = s√2. x = √ 2 x 2 √ 2. h = 9 √ 2. x = 4. 6 = x . √ 2. x = 6 / √2. x = 6√2 / 2. x = 3√ 2. 30°,60° Triangle. By Pythagoras. 30. 2 2 = 1 2 + x 2 . √3.

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slide1

Trigonometry

45° Triangle

By Pythagoras

x2 = 12 + 12

x2 = 2

x = √2

Let the leg = s

Hypotenuse = s√2

slide2

x= √2 x 2√2

h = 9√2

x= 4

slide3

6= x . √2

x = 6/√2

x = 6√2/2

x= 3√2

slide4

30°,60° Triangle

By Pythagoras

30

22 = 12 + x2

√3

x2 = 3

x = √3

60

1

2

slide5

30

30

60

60

Let the short leg = s

Hypotenuse = 2s

Long Leg = s√3

slide6

Hypotenuse = 2s

f = 10√3/3