A Pythagorean triple is a set of numbers that always satisfy the equation, a2 + b2 = c2. The numbers, 30, 72, 78, are a Pythagorean triple. True or false? A true B false The hypotenuse of a right triangle is One of the legs of the triangle is 26 cm. What is the length of the 24 cm. other leg A 8 cm B 10 cm C 12 cm D 20 cm
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Preview and Download !Decide if each set of numbers represents a Pythagorean triple. (Yes or no) 9. 5, 12, 13 10. 10, 17, 24 11. 7, 14, 7 5 12 16 x x 7 5 16 x 17 25 x 9 15 12 15 36 4 95 7 8 113. Find the area of each figure. (answers rounded to nearest hundredth) 12. A = ½ bh 13. A = lw 14 Solve each application problem. ...
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Preview and Download !Pythagorean Identities sin2x + cos2x = 1 1 + tan2x = sec2x 1 + cot2x = csc2x Printable Math Worksheets and Charts @ www.mathworksheets4kids.com Name : PREVIEW www.mathworksheets4kids.com Members, please o. his er? o cess. gain e Gain complete access to the largest collection of worksheets in all subjects! Title: pythagorean-identity.ai
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Preview and Download !Pythagorean Theorem Word Problems Worksheet \ Use this worksheet to go along with the interactive activity. Be sure to show your work. You may want to draw your own pictures, or add to the ones already there. 1. To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east.
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Preview and Download !Pythagorean Theorem. Use side lengths to classify triangles. Key Words • converse p. 136 4.5 The Converse of the Pythagorean Theorem The Converse of the Pythagorean Theorem Words If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right ...
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Preview and Download !The Pythagorean Theorem can be used to find the distance between two points, as shown below. Examples 1. Use the Pythagorean Theorem to find the distance between the points A(2, 3) and B(7, 10). Write your answer in simplest radical form. 2. Use the Pythagorean Theorem to find the distance between the points A(-3, 4) and B(5, -6).
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Preview and Download !A Pythagorean triple is a set of three positive integers a, b, and c that satisfy the equation c2 5 a2 1 b2. For example, the integers 3, 4, and 5 form a Pythagorean triple because 5 2 5 32 1 42. Find the length of the hypotenuse of the right triangle. Tell whether the side lengths form a Pythagorean triple. Solution (hypotenuse)2 5 (leg)2 1 ...
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Preview and Download !Pythagorean Theorem Find the missing side of each triangle. Leave your answers in simplest radical form. 1) x 4 ft 15 ft 2) 7 mi 5 2 mi x 3) 11 cm 6 cm x 4) x 8 cm 16 cm 5) 10 in 4 in x 6) 2 in 7 in x State if each triangle is a right triangle. 7) 9 km 89 km 170 km 8) 2 26 yd 14 yd 15 yd 9) 4 mi 8 2 mi 12 mi 10) 5 km 11 km 6 km-1-
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Preview and Download !The Pythagorean Theorem Author: newpathworksheets.com Subject: Mathematics Keywords: 7th Grade Math worksheets download, Math 7th Grade study guides download, The Pythagorean Theorem, U.S. National Standards, Homework Created Date: 9/1/2020 11:27:12 AM
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Preview and Download !Applications: Pythagorean Theorem Notes App: Pythagorean Theorem 4 Rev B Practice: Determining if lengths are sides of right triangle Determine whether the given lengths are sides of a right triangle. a. 20, 21, 29 b. 16,30,34 c. 7, 24, 25 d. 24, 60, 66 e. 23,18,14 f. 9, 12, 15 Key Concept: Pythagorean Triples
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