Engineering Board Exam Reviewer · Solutions to Oblique Triangles · medium

The sides of a parallelogram are 10 and 14, and the angle between them is 65°. Find the length of the longer diagonal.

  1. 13.33
  2. 17.2
  3. 24
  4. 20.36

Answer

D. 20.36

Solution

The longer diagonal is opposite the obtuse angle: d2=102+142+2(10)(14) 65°=414.33, so d=20.36.

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