50 Solved Mathematical Problems on Triangles
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This is a compilation of fifty problems pertaining to triangles, a plane figure having very interesting mathematical rules. Some problems here are originally-made by the author himself and some others were put just to help and emphasize some formulas and mathematical relations. Each chapter is carefully crafted to guide readers tackle and learn rules from the easiest to the difficult problems. The first chapter is about the parts of the triangle. Portraying the sides and interior angles of the triangle. The second chapter is learning the area and perimeter. Facing new formulas and solving a mo...
This is a compilation of fifty problems pertaining to triangles, a plane figure having very interesting mathematical rules. Some problems here are originally-made by the author himself and some others were put just to help and emphasize some formulas and mathematical relations. Each chapter is carefully crafted to guide readers tackle and learn rules from the easiest to the difficult problems. The first chapter is about the parts of the triangle. Portraying the sides and interior angles of the triangle. The second chapter is learning the area and perimeter. Facing new formulas and solving a more difficult problems than the latter. The third chapter however, is an introduction to the famous trigonometric functions, the sine, cosine and the tangent, focusing on how to use those functions on right triangles. The fourth chapter represents the use of sine, cosine, and the tangent laws. As the latter equations are essential in solving oblique triangles. The fifth chapter is showcasing one of the most unnoticeable properties of trigonometric functions, it's duality. Explaining in detail how every number have two values when incorporated by trigonometric functions. The property that must be carefully examined for awareness. The last but one of the most important chapters is setting the triangular shape in three dimensions. Learning the properties and equations of a pyramid and its relations to the triangle formulas. The last part of the book is additional triangle problems purposely for the finishing touches of the reader's understanding.
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