Abstract
N. Minculete proved some beautiful properties of tangential quadrilaterals using trigonometric computations. This paper will ease the role of trigonometry by providing new techniques based more on pure geometric considerations. These techniques will help further to deduce some characterizations for tangential cyclic quadrilaterals.
From a didactic perspective, the content becomes in this way accessible to a larger variety of high school students who intend to improve their mathematical education in the field of geometry to reveal fascinating characterizations of some outstanding geometric configurations at a reasonable interference with basic algebra and trigonometry.
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