lesson 10: special right triangles
DESCRIPTION
Lesson 10: Special Right Triangles. Moody Mathematics. Take a square…. Moody Mathematics. Find its diagonal. Here it is. Moody Mathematics. Find its length. d. x. x. Moody Mathematics. d. x. x. Moody Mathematics. Summarize the pattern:. Moody Mathematics. 45 o -45 o -90 o. leg. - PowerPoint PPT PresentationTRANSCRIPT
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Lesson 10:Lesson 10:Special Special Right Right
TrianglesTrianglesMoody Mathematics
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Take a Take a square…square…
Moody Mathematics
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Find its Find its diagonaldiagonal
Here Here it isit is
Moody Mathematics
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Find its Find its lengthlength
xx dd
xx Moody Mathematics
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xx dd
xx
2 2 2x x d 2 22x d
2 22x d
2x d
2 2x d
Moody Mathematics
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Summarize Summarize the pattern:the pattern:
Moody Mathematics
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4545oo-45-45oo-90-90oo
legleg lelegg
lelegg
2
Moody Mathematics
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4545oo-45-45oo-90-90oo
66 66
66
2
Moody Mathematics
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Practice:Practice:
Moody Mathematics
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4545oo-45-45oo-90-90oo
88 88
88
2
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4545oo-45-45oo-90-90oo
55 55
55
2
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1010 1010
1010
2
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2 22
2Moody Mathematics
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3 2
3 2
6
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8
4 2 4 2
4545oo- 45- 45oo--9090oo
Moody Mathematics
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4545oo-45-45oo-90-90oo
10 2
10 2
20
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Now Let’s Now Let’s take an take an Equilateral Equilateral Triangle…Triangle…
Moody Mathematics
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… … Find its Find its AltitudeAltitude
Moody Mathematics
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xx xx
xx
aa
2 2
x x
22 2
2
xa x
22 2
4
xa x
2 22 4
4 4
x xa
22 3
4
xa
Moody Mathematics
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xx xxaa
2 2
x x
22 3
4
xa
22 3
4
xa
3
2
xa
2 3
4
xa
Moody Mathematics
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Summarize Summarize the pattern:the pattern:
Moody Mathematics
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3030oo-60-60oo-90-90oo
Hypotenu
Hypotenusese
Longer Longer legleg
Short
er
Short
er
Leg
Leg 30
60
Moody Mathematics
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Hyp.Hyp.
½ Hyp. ½ Hyp.
½ H
yp
.½
Hyp
.
30
60
3Moody Mathematics
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30
60
10 3
2010
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Practice:Practice:
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30
60
14 3
2814
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30
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8 3
168
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9 3
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3
21
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3 3
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73
2
77
2
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2 3
42
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93
2
99
2
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4 32 3
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Review Review Both Both
Patterns:Patterns:Moody Mathematics
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4545oo-45-45oo-90-90oo
legleg lelegg
lelegg
2
Moody Mathematics
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Hyp.Hyp.
½ Hyp. ½ Hyp.
½ H
yp
.½
Hyp
.
30
60
3Moody Mathematics
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Mixed Mixed Practice:Practice:
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12 3
2412
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88 88
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2
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1010 1010
1010
2
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10
10
105 3
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3015
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8
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15 2
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10 35 3
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8 34 3
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4 2
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2 22
2Moody Mathematics
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