Special Right Triangles

1
Special Right Triangles
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Take a square
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Find its diagonal
Here it is
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Find its length
d
x
x
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d
x
x
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Summarize the pattern
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45o-45o-90o
leg
leg
leg
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45o-45o-90o
6
6
6
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Practice
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45o-45o-90o
8
8
8
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45o-45o-90o
5
5
5
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45o-45o-90o
10
10
10
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45o-45o-90o
2
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45o-45o-90o
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45o- 45o-90o

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45o-45o-90o
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Now Lets take an Equilateral Triangle
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Find its Altitude
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x
x
a
x
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x
x
a
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Summarize the pattern
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30o-60o-90o
Shorter Leg
Hypotenuse
Longer leg
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30o-60o-90o
½ Hyp.
Hyp.
½ Hyp.
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30o-60o-90o
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Practice
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30o-60o-90o
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30o-60o-90o
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30o-60o-90o
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30o-60o-90o
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30o-60o-90o
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30o-60o-90o
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30o-60o-90o
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30o-60o-90o
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30o-60o-90o
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30o-60o-90o
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Review Both Patterns
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45o-45o-90o
leg
leg
leg
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30o-60o-90o
½ Hyp.
Hyp.
½ Hyp.
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Mixed Practice
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8
8
8
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10
10
10
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4
4
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2
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