What is diagonals intersecting at a parallogram ?

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SUMMARY

The discussion focuses on calculating the lengths of the sides of a parallelogram given the lengths of its diagonals (10 ft and 16 ft) and the angle of intersection (28 degrees). The Law of Cosines and the Law of Sines are identified as essential equations for solving this problem. Participants seek clarification on how to apply the angle of 28 degrees in their calculations. The solution involves using these laws to derive the side lengths accurately.

PREREQUISITES
  • Understanding of the Law of Cosines
  • Understanding of the Law of Sines
  • Basic knowledge of parallelogram properties
  • Familiarity with trigonometric functions
NEXT STEPS
  • Practice problems involving the Law of Cosines in parallelograms
  • Explore the application of the Law of Sines in non-right triangles
  • Study the properties of parallelograms and their diagonals
  • Learn about angle measures in geometric figures
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Students studying geometry, mathematics educators, and anyone interested in solving problems related to parallelograms and trigonometry.

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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?
 
Last edited by a moderator:
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At the smaller of your 2 choices?
 
Thanks.. I got it!
 

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