What is diagonals intersecting at a parallogram ?

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Diagonals in a parallelogram intersect at specific angles, which can be calculated using the Law of Cosines and Law of Sines. In this case, the diagonals measure 10 ft and 16 ft, intersecting at an angle of 28 degrees. To find the lengths of the sides, the angle of intersection must be correctly applied in the calculations. The user seeks clarification on how to incorporate the 28-degree angle into their solution. Proper application of these trigonometric laws will yield the side lengths of the parallelogram.
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What is "diagonals intersecting at a parallogram"?

Homework Statement


The lengths of the diagonals of a parallelogram are 10 ft and 16 ft. Find the lengths of the sides of the parallelogram if the diagonals intersect at an angle of 28 degrees.


Homework Equations


Law of Cosines
Law of Sines
??


The Attempt at a Solution


mimo.gif

http://i80.photobucket.com/albums/j199/pugfug90/mimo.gif
Umm.. Where do I put the 28 degrees?
 
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At the smaller of your 2 choices?
 
Thanks.. I got it!
 

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