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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 5 in 2) 3 mi 4 mi x 5 mi 3) 11.9 km x 14.7 km 8.6 km 4) 6.3 mi x 15.4 mi 14.1 mi Find the missing side of each triangle. Leave your answers in simplest radical form. 5) x
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Preview and Download !Pythagorean theorem and its converse in real-life problems (G-5-M) (G-7-M) Lesson Focus In this lesson, students will develop skills in use of the Pythagorean theorem. It includes the following aspects: • Developing the concept of the Pythagorean theorem • Using the Pythagorean theorem to complete indirect measurement. GEE 21 Connection
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Preview and Download !In addition to the Pythagorean identity, it is often necessary to rewrite the tangent, secant, cosecant, and cotangent as part of solving an equation. Example 4 Solve ) tan( ) 3sin(x x for all solutions x 0 2 With a combination of tangent and sine, we might try rewriting tangent x x tan( ) 3sin( ) 3sin( ) cos( ) sin( ) x x x
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Preview and Download !Use the Pythagorean Theorem to test the triangles shown or described in each problem below. Is it a . right. triangle? 2 4 6 1 3 5. 5 5. 4 4. 4 41. 3 13. 32 If a triangle has sides that are 12, 10 and 6 . meters long, is it a right triangle? Is a triangle with side lengths of 4, 5, and . 6 inches a right triangle? A triangle has side lengths ...
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Preview and Download !Not a Pythagorean triple Pythagorean triple Not a Pythagorean triple Pythagorean triple Not a Pythagorean triple Pythagorean triple Pythagorean triple Not a Pythagorean triple Pythagorean triple Not a Pythagorean triple 10) Determine whether the sides of the triangle form a Pythagorean triple. t 6 ft A B2 ft C 6, 10, 8 8, 15, 17 5, 11, 9 1, 7, 5
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Preview and Download !hypotenuse, and Pythagorean Theorem. 18. Project the Pythagorean Theorem Practice worksheet that has a vocabulary practice at the bottom. Have students orally practice the vocabulary. 19. Model problem-solving using Pythagorean Theorem using the problem of Alex and the ladder. 20. Project or post the Anchor Chart which helps students see the ...
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Preview and Download !©P K2U0d102 H gK au atba Y HSIo Efht hw9avr4eB tL OL 0Cu. 3 t uA Zl 6l v 0rhi Cg Dhut1s J tr cexs5eqruvVePdf. b O zM xald 5ex 6wriVt4h E KI An Tf0i hnmi wt2e 4 tG Le io JmVeytOrmyO.5 Worksheet by Kuta Software LLC
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Preview and Download !Converse of the Pythagorean TheoremIf the sum of the squares of the measures of the two shorter sides of a triangle equals the square of the measure of the longest side, then the triangle is a right triangle. If the three whole numbers a, b, and c satisfy the equation a2 2b c2, then the numbers a, b, and c form a If a2 b2 c2, then Pythagorean ...
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Preview and Download !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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Preview and Download !PYTHAGOREAN THEOREM - WORKSHEET For each triangle find the missing length. Round your answer to the nearest tenth. Then find the area and the perimeter. For #5-9 c is the hypotenuse of the right triangle ABC with sides a, b, c 5. a = 12 ; b = 5; c = _____ 6. a = 8 ; b =_____ ; c = 10 ...
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