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In a 30-60-90 triangle, if the long side is 3 what is the hypotenuse?

User Wad
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1 Answer

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Assume that the long side is an opposite side. Assume also that the angle 60° is between the opposite side and the hypotenuse.
We are going to cosine function which has a ratio of
cos θ = opposite side / hypotenuse
cos θ = a/c
Solving for the hypotenuse c
c = a/cos 60°
c = 3/cos 60° = 6 (ANSWER)
User Raluca
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