![]() ![]() Remember that a right triangle has a 90 ° 90 ° angle, marked with a small square in the corner. It is named after the Greek philosopher and mathematician, Pythagoras, who lived around 500 BC.īefore we state the Pythagorean Theorem, we need to introduce some terms for the sides of a triangle. This theorem has been used around the world since ancient times. An important property that describes the relationship among the lengths of the three sides of a right triangle is called the Pythagorean Theorem. Now, we will learn how the lengths of the sides relate to each other. We have learned how the measures of the angles of a triangle relate to each other. The measure of one angle of a right triangle is 30° more than the measure of the smallest angle. Triangles are named by their vertices: The triangle in Figure 3.4 is called △ A B C. The plural of the word vertex is vertices. Usually each side is labeled with a lowercase letter to match the uppercase letter of the opposite vertex. Triangles have three sides and three interior angles. Let’s review some basic facts about triangles. We will start geometry applications by looking at the properties of triangles. Answer the question with a complete sentence. Check the answer by substituting it back into the equation solved in step 5 and by making sure it makes sense in the context of the problem. Solve the equation using good algebra techniques. Translate into an equation by writing the appropriate formula or model for the situation. Label what we are looking for by choosing a variable to represent it. Draw the figure and label it with the given information. Read the problem and make sure all the words and ideas are understood. ![]()
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