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Hint

1

30 60 90 triangle - Side opposite 30 degree angle

x (smallest side)

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2

30 60 90 triangle - Side opposite 60 degree angle

x√3 (medium side)

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3

30 60 90 triangle - Hypotenuse

2x (largest side)

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4

law of sines

a/sin A = b/sin B = c/sin C

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5

law of cosines

c = √(a² + b² - 2ab cos C

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6

law of cosines solved for other things

a² = b² + c² - 2bc cosA

b² = a² + c² - 2ac cosB

c² = a² + b² - 2ab cos C

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7

combination equation

n = number of objects

r = objects selected each time

n!/(r!(n-r)!

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