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What is trigonometry? Trigonometry (from Greek trigōnon "triangle" + metron "measure") is a branch of mathematics that studies triangles and the relationships between their sides and the angles between the sides. What are right triangles? Right triangles are those that contain a 90o angle. This is usually labelled with a square at one of the vertices of the triangle. Basic triangle facts: 1) All triangles are made up of ______ sides and ______ angles. 2) The sum of all angles in any triangle add up to _______. 3) Capital or upper case letters are used to label vertices of a triangle. Each side is labelled using the corresponding lower case letter of the opposite vertex. How are the measures of the 3 sides in any right triangle related? 1) On the middle of a graph paper, join two sides measuring 3 cm and 4 cm at a 90o angle. 2) Close the triangle and measure the length of the third side using a ruler. 3) Create a square out of each of the 3 sides of this triangle. 4) Find the area of each square created. What do you notice?