The diagonals of a parallelogram

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

Check the picture. First, we use law of cosines to find out d1, then we find second angle of parallelogram, which is , 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.

The polygon diagonals of a parallelogram

Side a

Side b

Angle

°

′

″

Calculation precision

Digits after the decimal point: 2

Calculate

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

 

PLANETCALC, The polygon diagonals of a parallelogram