Mathematics - Lecture 27 "Solutions of triangles", the main contents of the chapter consist of the following: Triangles, solving right triangles, solving oblique triangles, applications. | Solutions of Triangles Institute of Mathematics, University of the Philippines Diliman Meeting 27 (IMath, UPD) Solutions of Triangles Meeting 27 1 / 23 Outline 1 Triangles 2 Solving Right Triangles 3 Solving Oblique Triangles 4 Applications (IMath, UPD) Solutions of Triangles Meeting 27 2 / 23 Triangles Notation for triangles 1 A, B, C: vertices 2 a, b, c: lengths of the respective opposite sides 3 α, β, γ: measures of the respective interior angles (IMath, UPD) Solutions of Triangles Meeting 27 3 / 23 Triangles 1 A, B, C: vertices 2 a, b, c: lengths of the respective opposite sides 3 α, β, γ: measures of the respective interior angles Recall: α + β + γ = 180◦ (IMath, UPD) Solutions of Triangles Meeting 27 4 / 23 Triangles 1 A, B, C: vertices 2 a, b, c: lengths of the respective opposite sides 3 α, β, γ: measures of the respective interior angles Recall: α + β + γ = 180◦ Triangle Inequality The sum of the lengths of two sides of a triangle is greater than the length of the third side. (IMath, UPD) Solutions of Triangles Meeting 27 4 / .
