Special Right Triangles

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Special Right Triangles. Take a square…. Find its diagonal. Here it is. Find its length. d. x. x. Moody Mathematics. d. x. x. Summarize the pattern:. 45 o -45 o -90 o. leg. leg. leg. 45 o -45 o -90 o. 6. 6. 6. Practice:. 45 o -45 o -90 o. 8. 8. 8. 45 o -45 o -90 o. 5. - PowerPoint PPT Presentation

Transcript of Special Right Triangles

Take a Take a square…square…

Find its Find its diagonaldiagonal

Here Here it isit is

Find its Find its lengthlength

xx dd

xx Moody Mathematics

xx dd

xx

2 2 2x x d 2 22x d

2 22x d

2x d

2 2x d

legleg lelegg

lelegg

2

66 66

66

2

88 88

88

2

55 55

55

2

1010 1010

1010

2

2

2

22

3 2

3 2

6

8

4 2 4 2

4545oo- 45- 45oo--9090oo

10 2

10 2

20

Now Let’s Now Let’s take an take an Equilateral Equilateral Triangle…Triangle…

… … Find its Find its HeightHeight

2x2x 2x2x

2x2x

aa

x x

2 2 2(2 )x a x 2 2 24a x x

2 23a x

2x2x 2x2xaa

x x

2 23a x

2 23a x

3a x

2 3a x

Hypotenu

Hypotenusese

Longer Longer legleg

Short

er

Short

er

Leg

Leg 30

60

2x2x

30

60

3x

x

30

60

10 3

2010

30

60

14 3

2814

30

60

8 3

168

30

60

9 3

189

30

60

3

21

30

60

3 3

63

30

60

73

2

77

2

30

60

2 3

42

30

60

93

2

99

2

30

60

6

4 32 3

30

60

12

8 34 3

xx xx

xx

2

Moody Mathematics

2x2x

30

60

3x

x

Moody Mathematics

30

60

12 3

2412

30

60

3 3

63

Moody Mathematics

88 88

88

2

Moody Mathematics

1010 1010

1010

2

Moody Mathematics

30

60

3

21

10

10

105 3

30

60

15 3

3015

Moody Mathematics

8 8

8

8

8 2

Moody Mathematics

30

60

8 3

16 8

Moody Mathematics

8

4 2 4 2

30

60

3 3

63

15

15

15 2

15

15

30

60

15

10 35 3

30

60

21

14 37 3

44

44

4 2

2

2

22

18

18

189 3

Pg. 461 #3,4, 8, 10Pg 462 # 13 to 18, 23 to 25