Abstract
This chapter is devoted to the inequalities related to areas and it consists of only one paragraph, that is Section 3.1. One of the methods for proving the inequalities related to areas (of some figures on the plane) is the following: if the figures with areas S 1 S 2 , . . . , S k cover a figure with area S, then S 1 + S 2 + . . . + S k ≥ S.
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Notes
- 1.
If the line l has at least one common point with a figure F and whole figure F is located on one side of l, then the line l is called a support line of the figure F.
- 2.
AB # CD denotes that the segments AB and CD are parallel and equal.
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Sedrakyan, H., Sedrakyan, N. (2017). Areas. In: Geometric Inequalities. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-55080-0_3
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DOI: https://doi.org/10.1007/978-3-319-55080-0_3
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