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The diagonals of a parallelogram

Calculator computes the diagonals of a parallelogram and adjancent angles from side lengths and angle.

person_outlineTimurschedule2011-03-28 14:49:28
Creative Commons Attribution/Share-Alike License 3.0 (Unported)

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This calculator computes the diagonals of a parallelogram and adjancent angles from side lengths and angle between sides.

It is done with the help of law of cosines
c^2=a^2+b^2-2ab cos \gamma

Check the picture. First, we use law of cosines to find out d1, then we find second angle of parallelogram, which is 180 - \gamma, then we again use law of cosines to find out d2. Remaining angles are found from the same law of cosines. After that we find diagonal intersection angles using the fact that sum of triangle angles is 180.

PLANETCALC, The polygon diagonals of a parallelogram

The polygon diagonals of a parallelogram

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Digits after the decimal point: 2
Diagonal d1
 
Diagonal d2
 
Second parallelogram angle
 
Angle between d1 and d2
 
Angle between a and d1
 
Angle between b and d1
 
Angle between a and d2
 
Angle between b and d2
 

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Creative Commons Attribution/Share-Alike License 3.0 (Unported) PLANETCALC, The diagonals of a parallelogram

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