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Applications of the sine and cosine rules for a quadrilateral

Published online by Cambridge University Press:  17 February 2021

Radimir Viher ,
Dragutin Viher  and
Helena Koncul
Radimir Viher
Affiliation:
Ilica 180, 10000 Zagreb, Croatia e-mail: viher@grad.hr
Dragutin Viher
Affiliation:
Av. Veeslava Holjevca 36a, 10020 Zagreb, Croatia e-mail: dragutin.viher@gmail.com
Helena Koncul
Affiliation:
University of Zagreb, Faculty of Civil Engineering, Kacieva ul. 26, 10000 Zagreb, Croatia e-mail: hkoncul@grad.hr
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Extract

We aim to produce formulae for a quadrilateral which correspond to the sine and cosine rule for a triangle. Subsequently, we apply these results to solve problems involving a quadrilateral.

Type
Articles
Information
The Mathematical Gazette , Volume 105 , Issue 562 , March 2021 , pp. 70 - 77
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Copyright
© The Mathematical Association 2021

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References

Kershner, R. B., The law of sines and law of cosines for polygons, Math. Mag. 44(3) (1971) pp. 150–153.10.1080/0025570X.1971.11976127CrossRefGoogle Scholar
Altshiller-Court, N., College geometry, Dover, Mineola, NY (2007).Google Scholar
Sandifer, E., How Euler did it, MAA Online (January 2005).Google Scholar
Durell, C. V. and Robson, A., Advanced trigonometry, Dover, Mineola, NY (2003).Google Scholar