A new Formula for the Area of the Quadrilateral (Reading for Grade 7th)

1) Prof. DSc. Jordan Tabov, 2) Dr. Asen Velchev, Assist. Prof.
3) Dr. Stanislav Stefanov, Assist. Prof 4) Haim Haimov, MSc math.
1) Institute of Mathematics and Informatics -Bulgarian Academy of Sciences
2) Technical University – Sofia
3) University of Archtecture, Civil Engineering and Geodesy - Sofia, Bulgaria
4) 16, Bratya Shkorpil Str. - Varna, Bulgaria

https://doi.org/10.53656/math2023-1-1-ane

Abstract. Here we derive formula for the area of a quadrilateral with angle 45º between the diagonals, which is a special case of a more general formula for the area of a quadrilateral (Haimov 2022). Along the way we obtain formulas for the area of triangles with angle of 45º/135º. We also give formulas for the area of specific kinds of pentagons and hexagons, in the form of problems.
Keywords: formula for the area оf a quadrilateral; pentagon; hexagon

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