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Special Right Triangles
Isosceles Right Triangles 45 –
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1 = x2 45o 2 = x2 1 x 45o
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Ratio Leg:Leg:Hypotenuse
1 leg 1 leg hypotenuse
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Isosceles right triangles are all similar
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Ratio Leg:Leg:Hypotenuse
1 leg 1 leg hypotenuse
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Ex. # 1 – Find the lengths of missing sides
y 5cm
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30 – 60 – 90 Triangles
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12 + x2 = 22 x2 = 3 30o 2 2 x ? 60o 1 2
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2 1 Ratio, hypotenuse:short leg:long leg 30o long leg hypotenuse 60o
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30 – 90 – 60 triangles are all similar
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2 1 Ratio, hypotenuse:short leg:long leg 30o long leg hypotenuse 60o
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2 1 Ex. # 2 – Find the lengths of the missing sides 30o hypotenuse
long leg 60o 1 short Leg y y 7 60o 30o x
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451/ /32,35
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