Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Trigonometry
Vector Calculations
Formulas
OK = a / (2 * cos(β))
Area of NOK = (a / (2 * sin(β))) * [1 + tan(β) + 1/cos(β)]
Theorems
Trigonometric identities
Properties of diagonals in rectangles
Area of a triangle
Suitable Grade Level
Grades 11-12 (Pre-Calculus/Geometry level)