The Pythagorean Theorem and Its Converse Date_____ Period____ Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. 1) x 12 in 13 in 2) 3 mi 4 mi x 3) 11.9 km x 14.7 km 4) 6.3 mi x 15.4 mi Find the missing side of each triangle. Leave your answers in simplest radical form. 5) x 13 yd 15 yd 6) 8 km x
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Section 6.2 The Pythagorean Theorem 239 EXAMPLE 2 Finding the Length of a Leg Find the missing length of the triangle. a 2 + b 2 = c 2 Write the Pythagorean Theorem. a 2 + 2.12 = 2.9 2 Substitute 2.1 for b and 2.9 for c. a 2 + 4.41 = 8.41 Evaluate powers. a 2 = 4 Subtract 4.41 from each side. a = 2 Take positive square root of each side. The length of the leg is 2 centimeters.
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Multi-Step Pythagorean Theorem Problems Date_____ Period____ Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth. 1) 9 8 2) 9 7 3) 6 8 4) 7 8 5) 5 5 7.6 6) 7 7 5.2 7) 12 10 8 8) 7 5 8-1-
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PYTHAGOREAN THEOREM WORD. PROBLEMS WORKSHEET. 1. A swimmer starts at a point on the shore and swims 200 meters due east. Then, the swimmer. turns and swims 300 meters due north. What is the shortest distance for the swimmer to return. to the starting point to the nearest metre? 2.
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3 tan 2 Example 1: Use Trigonometric Identities to write each expression in terms of a single trigonometric identity or a constant. a.tan𝜃cos𝜃 b.1−cos 2𝜃 cos2𝜃 c.cos𝜃csc𝜃 d.sin𝜃sec𝜃 tan𝜃 Example 2: Simplify the complex fraction. a. 2 3 4 15 b. 4 5 4 35 c. 2 5 3 5 d. 1 2 2 sin𝜃= 1 csc𝜃 csc𝜃= 1 sin𝜃
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The Pythagorean Theorem Date_____ Period____ Do the following lengths form a right triangle? 1) 6 8 9 No 2) 5 12 13 Yes 3) 6 8 10 Yes 4) 3 4 5 Yes ... Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com. Title: Pythagorean Theorem
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ASSIGNMENT: Introduction to Pythagorean Theorem Worksheet Grade: Block day, 1/9 - 10 Pythagorean Theorem, Converse, and Inequalities 4. I can use the Converse of the Pythagorean Theorem to determine if a triangle is a right triangle or not. 5. I can determine if a triangle is acute or obtuse using the Pythagorean Inequalities theorem.
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Pythagoras Videos 257, 260, 261 on www.corbettmaths.com Question 7: ABC is an isosceles triangle. (a) Find h. (b) Find the area of the triangle.
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Pythagorean Triples Worksheet I NAME_____ I. Use Pythagorean Theorem to find the missing dimension of each right triangle. Then complete the chart. 1. 2.
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Printable Math Worksheets @ www.mathworksheets4kids.com Name : Score : 1) 24, 18, 30 12, 20, 16 29, 20, 21 3, ,14 10 ... 6 cm 11 cm A B2 cm C 6, 10, 8 8, 15, 17 5, 11, 9 1, 7, 5. Determine whether each set of numbers form a Pythagorean triple. Answer Key Pythagorean Triples Sheet 1 Printable Math Worksheets @ www.mathworksheets4kids.com Name ...
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