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Pythagorean Theorem and Right Triangles Mrs. Spanier Pre-Algebra

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Discuss with a neighbor… 1. What is Pythagorean Theorem used for? 2. What is the formula?

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Please Do Now… Fill in the blanks on the Pythagorean Theorem GO. Do this on your own. Now check with a neighbor.

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What is Pythagorean Theorem? a² + b² = c² a b c Video

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Is this a right triangle? a² + b² = c² 12² + 35² = 37² 144 + 1225 = 1369 1369 = 1369 So… YES! 12 35 37

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Is this a right triangle? a² + b² = c² 10² + 25² = 26² 100 + 625 = 676 725 = 676 So… NO! A = 10 B = 25 C = 26

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Is this a right triangle? a² + b² = c² 12² + 30² = 32² 144 + 900 = 1024 1044 = 1024 So… NO! A = 12 B = 30 C = 32

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Find the missing side: a² + b² = c² 6² + 8² = c² 36 + 64 = c² 100 = c² 10 = c 6 8 c√√

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Example on GO – Find the missing side: a² + b² = c² 15² + b² = 39² 225 + b² = 1521 b² = 1296 b = 36 A = 15 B = ? C = 39√√ Now try the other 2 on your GO…

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Find the missing side: 7² + b² = 11² 49 + b² = 121 b² = 72 b = about 8.5 A = 7 B = ? C = 11√√

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Find the missing side: a² + b² = c² a² + 12² = 15² a² + 144 = 225 a² = 81 9 = c A = ? B = 12 C = 15√√

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Find the missing side: a² + 24² = 30² a² + 576 = 900 a² = 324 a = 18 a 24 30√ √

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You need a pencil and scratch paper…

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Choose your answers! 50 75 12.7 17.3 7.28 2.23 no7.42 16.16 yes 0.9 8.56 12 10.9 9.4 24 14.4 5.74 20.6 26.5 12.4

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Tell someone… How do you know whether to add or subtract when solving with Pythagorean theorem?

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You try: Find the length of each cable in the figure below. 45 m

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Quiz Time! http://www.funtrivia.com/playquiz/quiz20 49161776b68.html http://www.funtrivia.com/playquiz/quiz20 49161776b68.html http://www.funtrivia.com/playquiz/quiz20 49161776b68.html http://www.funtrivia.com/playquiz/quiz20 49161776b68.html

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