Area of cyclic quadrilateral (square, rectangle, rhombus and isosceles trapezoid) Renato A. Pasague Jr..... [et al.].

Thesis (Bachelor of Science in Mathematics) -- University of Rizal System-Morong

EXECUTIVE SUMMARY This study entitled Area of Cyclic Quadrilateral (Square, Rectangle, Rhombus, and Isosceles Trapezoid) was conducted at the University of Rizal System- Morong, Rizal during the academic year 2013-2014. The purpose of the study was to prove that quadrilaterals can be said to be a cyclic quadrilaterals based on its definition and properties and to find for the area of a cyclic quadrilateral using the Brahmagupta's Formula. The researchers used books, encyclopedia, and information from the internet to gather data about cyclic quadrilateral to prove that all quadrilaterals can be said to be a cyclic quadrilaterals. From the data gathered, the researchers were able to test the quadrilaterals by using the properties of cyclic quadrilateral and cyclic quadrilateral Theorem, and after proving that the quadrilateral was said to be a cyclic quadrilateral, they used the Brahmagupta's Formula for getting the area of a cyclic quadrilateral. Moreover the researchers prepared one example for each quadrilateral, through this examples, the researchers proved that quadrilateral satisfied the properties of a cyclic quadrilateral. From the analysis of findings, the researchers found out that the quadrilaterals can be a cyclic quadrilateral based on its definition and properties. Further studies should be conducted for the verification and enhancement of the findings