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  • Published In: Mathematics Today, 2026, v. 44, n. 3. P. 66 1 of 2

  • Database: Mathematics Source 2 of 2

Abstract

The article focuses on solving three geometry and trigonometry problems submitted by readers. The first problem determines the number of sides \( n \) of a regular polygon given a specific relation among its side lengths, concluding \( n = 7 \). The second problem finds the total number of solutions for \( x \) in a trigonometric equation involving the sides \( a, b, c \) of a triangle, resulting in three values: \( x = 0, 1, -1 \). The third problem calculates the maximum area of a parallelogram \( AFDE \) inscribed in triangle \( ABC \) with vertices on its sides, using coordinate geometry and ratio division methods. Each solution applies mathematical principles such as sine rules, inverse trigonometric functions, and coordinate geometry techniques. [Extracted from the article]

Additional Information

  • Source:Mathematics Today. 2026/03, Vol. 44, Issue 3, p66
  • Document Type:Article
  • Subject Area:Earth and Atmospheric Sciences
  • Publication Date:2026
  • Accession Number:192140142
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