SOLUTION: the longest side of a triangle with angles 40, 50, 90 degrees has lengths of 20. what is the shortest side?

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Question 712221: the longest side of a triangle with angles 40, 50, 90 degrees has lengths of 20. what is the shortest side?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
the longest side of a triangle with angles 40, 50, 90 degrees has lengths of 20. what is the shortest side?
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Sketch a picture of the triangle.
hypotenuse = 20
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side opposite 40 degrees is the shortest side.
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sin(40) = shortest/hypotenuse
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shortest = 20*sin(40) = 12.86
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Cheers,
Stan H.
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