SOLUTION: One diagonal of a parallelogram is 17 cm long and makes angles of 36� and 15� with the sides. Find the lengths (x and y) of the sides.

Question 571763: One diagonal of a parallelogram is 17 cm long and makes angles of 36� and 15� with the sides. Find the lengths (x and y) of the sides.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
One diagonal of a parallelogram is 17 cm long and makes angles of 36� and 15� with the sides. Find the lengths (x and y) of the sides.
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The 3rd angle is 180-(36+15) = 129 degrees
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Law of sines:
x/sin(36) = 17/sin(129)
x = 12.86
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Law of Sines:
y/sin(15) = 17/sin(129)
y = 5.66
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Cheers,
Stan H.
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