Solutions of triangle given one angle

Thesis Bachelor of Science in Mathematics major in Computer Science University of Rizal System-Morong. 2015

EXECUTIVE SUMMARY: This study entitled "solutions of triangle given one angle" was conducted during the second semester of the academic year 2014-2015. The subject of the study was to solve a triangle given one angle. After the approval of research title, the researchers conducted the study through gathering information using books, encyclopedia, thesis, internet and others. They also asked for the suggestions of their mathematics instructors. After the collection of related literatures and the development of the research methodology, the researchers started to analyzed and solve for a triangle given one angle by using the formula of the interior angles of a triangle. The study used acute and obtuse triangle for the presentation because these are the triangles that can only have given one angle. The result of the study was that, an acute and obtuse triangle can be solve by using only one angle. The angles and sides of an acute triangle given one angle can be determine using interior angles of triangles (X + 2X + 3X = 180˚) wherein the researchers used another representation (Y + 2X + 3X = 180˚) and law of sine (sin∅=opposite/hypotenuse) if and only if the given angle in an acute triangle was 31˚ - 89˚. The angles and side of an obtuse triangle given one angle can be determined using interior angles of a triangle, and law of sine. It can be used for any value of angles. The study recommends that students, may use this as a guide if they encounter a problem related to this.EXECUTIVE SUMMARY: This study entitled "solutions of triangle given one angle" was conducted during the second semester of the academic year 2014-2015. The subject of the study was to solve a triangle given one angle. After the approval of research title, the researchers conducted the study through gathering information using books, encyclopedia, thesis, internet and others. They also asked for the suggestions of their mathematics instructors. After the collection of related literatures and the development of the research methodology, the researchers started to analyzed and solve for a triangle given one angle by using the formula of the interior angles of a triangle. The study used acute and obtuse triangle for the presentation because these are the triangles that can only have given one angle. The result of the study was that, an acute and obtuse triangle can be solve by using only one angle. The angles and sides of an acute triangle given one angle can be determine using interior angles of triangles (X + 2X + 3X = 180˚) wherein the researchers used another representation (Y + 2X + 3X = 180˚) and law of sine (sin∅=opposite/hypotenuse) if and only if the given angle in an acute triangle was 31˚ - 89˚. The angles and side of an obtuse triangle given one angle can be determined using interior angles of a triangle, and law of sine. It can be used for any value of angles. The study recommends that students, may use this as a guide if they encounter a problem related to this.