Explanation Given: If n is a positive integer greater than 1, then ( 2 n , n 2 − 1 , n 2 + 1 ) is a Pythagorean triple. And from exercises 65-68, Put n = 2 in the given formula for Pythagorean triple. So, ( 2 n , n 2 − 1 , n 2 + 1 ) = ( 2.2 , 2 2 − 1 , 2 2 + 1 ) = ( 4 , 3 , 5 ) Take the values of triples as a , b , c and put them in the given formula. Put n = 3 in the given formula for Pythagorean triple. So, ( 2 n , n 2 − 1 , n 2 + 1 ) = ( 2.3 , 3 2 − 1 , 3 2 + 1 ) = ( 6 , 8 , 10 ) Put n = 4 in the given formula for Pythagorean triple. So, ( 2 n , n 2 − 1 , n 2 + 1 ) = ( 2.4 , 4 2 − 1 , 4 2 + 1 ) = ( 8 , 15 , 17 ) Put n = 5 in the given formula for Pythagorean triple. So, ( 2 n , n 2 − 1 , n 2 + 1 ) = ( 2.5 , 5 2 − 1 , 5 2 + 1 ) = ( 10 , 24 , 26 ) Thus, the triples are ( 4 , 3 , 5 ) , ( 6 , 8 , 10 ) , ( 8 , 15 , 17 ) , ( 10 , 24 , 26 ) Formula used: If n is a positive integer greater than 1, then ( 2 n , n 2 − 1 , n 2 + 1 ) is a Pythagorean triple

Mathematical Ideas (13th Edition) - Standalone book

13th Edition

ISBN: 9780321977076

Author: Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren

Publisher: PEARSON

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Chapter 9.3, Problem 69E

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To prove: The expression a2+b2=c2 if the Pythagorean triple is given by (a,b,c)=(2n,n2−1,n2+1), where n is a positive integer greater than 1.

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Chapter 9.3, Problem 68E

Chapter 9.3, Problem 70E

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Chapter 9 Solutions

Mathematical Ideas (13th Edition) - Standalone book

Ch. 9.1 - Fill in each blank with the correct response. The...Ch. 9.1 - Fill in each blank with the correct response. The...Ch. 9.1 - Fill in each blank with the correct response. 3....Ch. 9.1 - Prob. 4E Ch. 9.1 - Decide whether each statement is true or false. A...Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

Ch. 9.1 - Decide whether each statement is true or...Ch. 9.1 - Decide whether each statement is true or false....Ch. 9.1 - Decide whether each statement is true or false....Ch. 9.1 - Decide whether each statement is true or...Ch. 9.1 - Decide whether each statement is true or...Ch. 9.1 - Prob. 16E Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Give the measure of the complement of each angle....Ch. 9.1 - Give the measure of the complement of each...Ch. 9.1 - Give the measure of the complement of each...Ch. 9.1 - Give the measure of the complement of each angle....Ch. 9.1 - Give the measure of the complement of each angle....Ch. 9.1 - Give the measure of the complement of each angle....Ch. 9.1 - Give the measure of the supplement of each...Ch. 9.1 - Give the measure of the supplement of each...Ch. 9.1 - Give the measure of the supplement of each angle....Ch. 9.1 - Give the measure of the supplement of each angle....Ch. 9.1 - Prob. 51E Ch. 9.1 - Prob. 52E Ch. 9.1 - Complementary and Supplementary Angles Solve each...Ch. 9.1 - Complementary and Supplementary Angles Solve each...Ch. 9.1 - Complementary and Supplementary Angles Solve each...Ch. 9.1 - Complementary and Supplementary Angles Solve each...Ch. 9.1 - Name all pairs of vertical angles in each...Ch. 9.1 - Name all pairs of vertical angles in each figure.Ch. 9.1 - 59. In Exercise 57, if has a measure of , find...Ch. 9.1 - 60. In Exercise 58, if has a measure of . find...Ch. 9.1 - Find the measure of each marked angle.Ch. 9.1 - Prob. 62E Ch. 9.1 - Find the measure of each marked angle.Ch. 9.1 - Prob. 64E Ch. 9.1 - Prob. 65E Ch. 9.1 - Prob. 66E Ch. 9.1 - Find the measure of each marked angle. 67. Ch. 9.1 - Find the measure of each marked angle. 68. Ch. 9.1 - In Exercises 69-72, assume that lines m and n are...Ch. 9.1 - Prob. 70E Ch. 9.1 - In Exercises 69-72, assume that lines m and n are...Ch. 9.1 - Prob. 72E Ch. 9.1 - The sketch shows parallel lines m and n cut by a...Ch. 9.1 - 74. Use the sketch to find the measure of each...Ch. 9.1 - Prob. 75E Ch. 9.2 - Fill in each blank with the correct response. 1. A...Ch. 9.2 - Prob. 2E Ch. 9.2 - Prob. 3E Ch. 9.2 - Prob. 4E Ch. 9.2 - Decide whether each statement is true or false. A...Ch. 9.2 - Decide whether each statement is true or false. 6....Ch. 9.2 - Decide whether each statement is true or false. A...Ch. 9.2 - Decide whether each statement is true or false. 8....Ch. 9.2 - Decide whether each statement is true or false. A...Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Prob. 13E Ch. 9.2 - Prob. 14E Ch. 9.2 - Prob. 15E Ch. 9.2 - Prob. 16E Ch. 9.2 - Prob. 17E Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.2 - Prob. 20E Ch. 9.2 - Prob. 21E Ch. 9.2 - Prob. 22E Ch. 9.2 - Prob. 23E Ch. 9.2 - Prob. 24E Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Classify each triangle as acute, right, or obtuse....Ch. 9.2 - Classify each triangle as acute, right, or obtuse....Ch. 9.2 - Classify each triangle as acute, right, or obtuse....Ch. 9.2 - Prob. 30E Ch. 9.2 - Prob. 31E Ch. 9.2 - Prob. 32E Ch. 9.2 - Classify each triangle as acute, right, or obtuse....Ch. 9.2 - Prob. 34E Ch. 9.2 - Classify each triangle as acute, right, or obtuse....Ch. 9.2 - Classify each triangle as acute, right, or obtuse....Ch. 9.2 - Prob. 37E Ch. 9.2 - Prob. 38E Ch. 9.2 - Find the measure of each angle in triangle ABC.Ch. 9.2 - Prob. 40E Ch. 9.2 - Find the measure of each angle in triangle ABC.Ch. 9.2 - Prob. 42E Ch. 9.2 - 43. Angle Measures In triangle ABC, angles A and B...Ch. 9.2 - Prob. 44E Ch. 9.2 - Prob. 45E Ch. 9.2 - Prob. 46E Ch. 9.2 - Prob. 47E Ch. 9.2 - Prob. 48E Ch. 9.2 - Using the points, segments, and lines in the...Ch. 9.2 - 50. In the classic 1939 movie The Wizard of , the...Ch. 9.2 - Prob. 51E Ch. 9.2 - Prob. 52E Ch. 9.2 - Prob. 53E Ch. 9.2 - Prob. 54E Ch. 9.2 - Prob. 55E Ch. 9.2 - Prob. 56E Ch. 9.2 - Prob. 57E Ch. 9.2 - Prob. 58E Ch. 9.2 - 59. Investigate Proposition II of Book I of...Ch. 9.2 - Prob. 60E Ch. 9.3 - Prob. 1E Ch. 9.3 - In Exercises 1-6, provide a STATEMENTS/REASONS...Ch. 9.3 - In Exercises 1-6, provide a STATEMENTS/REASONS...Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Exercises 7-10 refer to the given figure, which...Ch. 9.3 - Prob. 8E Ch. 9.3 - Exercises 7-10 refer to the given figure, which...Ch. 9.3 - Prob. 10E Ch. 9.3 - Prob. 11E Ch. 9.3 - Prob. 12E Ch. 9.3 - Name the corresponding angles and the...Ch. 9.3 - Prob. 14E Ch. 9.3 - Name the corresponding angles and the...Ch. 9.3 - Prob. 16E Ch. 9.3 - Find all unknown angle measures in each pair of...Ch. 9.3 - Prob. 18E Ch. 9.3 - Find all unknown angle measures in each pair of...Ch. 9.3 - Prob. 20E Ch. 9.3 - Prob. 21E Ch. 9.3 - Prob. 22E Ch. 9.3 - Find the unknown side lengths in each pair of...Ch. 9.3 - Prob. 24E Ch. 9.3 - Find the unknown side lengths in each pair of...Ch. 9.3 - Prob. 26E Ch. 9.3 - Prob. 27E Ch. 9.3 - Prob. 28E Ch. 9.3 - In each diagram, there are two similar triangles....Ch. 9.3 - In each diagram, there are two similar triangles....Ch. 9.3 - In each diagram, there are two similar triangles....Ch. 9.3 - In each diagram, there are two similar triangles....Ch. 9.3 - In each diagram, there are two similar triangles....Ch. 9.3 - In each diagram, there are two similar triangles....Ch. 9.3 - Solve each problem. Height of a Tree A tree casts...Ch. 9.3 - Solve each problem. Height of a Tower A forest...Ch. 9.3 - Solve each problem. 37. Lengths of Sides of a...Ch. 9.3 - Prob. 38E Ch. 9.3 - Solve each problem. Height of a Building A house...Ch. 9.3 - Solve each problem. Height of the World's Tallest...Ch. 9.3 - Prob. 41E Ch. 9.3 - Prob. 42E Ch. 9.3 - In Exercises 43-50, a and h represent the two legs...Ch. 9.3 - Prob. 44E Ch. 9.3 - Prob. 45E Ch. 9.3 - Prob. 46E Ch. 9.3 - Prob. 47E Ch. 9.3 - Prob. 48E Ch. 9.3 - Prob. 49E Ch. 9.3 - Prob. 50E Ch. 9.3 - Refer to Exercise 50 in Section 9.2. Correct the...Ch. 9.3 - Prob. 52E Ch. 9.3 - Prob. 53E Ch. 9.3 - Prob. 54E Ch. 9.3 - Prob. 55E Ch. 9.3 - Prob. 56E Ch. 9.3 - Prob. 57E Ch. 9.3 - Prob. 58E Ch. 9.3 - Prob. 59E Ch. 9.3 - Prob. 60E Ch. 9.3 - Prob. 61E Ch. 9.3 - Prob. 62E Ch. 9.3 - Prob. 63E Ch. 9.3 - Prob. 64E Ch. 9.3 - Prob. 65E Ch. 9.3 - Prob. 66E Ch. 9.3 - Prob. 67E Ch. 9.3 - Prob. 68E Ch. 9.3 - Prob. 69E Ch. 9.3 - Prob. 70E Ch. 9.3 - Prob. 71E Ch. 9.3 - Prob. 72E Ch. 9.3 - Solve each problem. (You may wish to review...Ch. 9.3 - Prob. 74E Ch. 9.3 - Solve each problem. (You may wish to review...Ch. 9.3 - Prob. 76E Ch. 9.3 - Prob. 77E Ch. 9.3 - Prob. 78E Ch. 9.3 - Prob. 79E Ch. 9.3 - Prob. 80E Ch. 9.3 - Proof of the Pythagorean Theorem by Similar...Ch. 9.3 - Prob. 82E Ch. 9.3 - Prob. 83E Ch. 9.3 - Prob. 84E Ch. 9.3 - Prob. 85E Ch. 9.3 - Prob. 86E Ch. 9.3 - Prob. 87E Ch. 9.3 - Prob. 88E Ch. 9.3 - Prob. 89E Ch. 9.3 - Prob. 90E Ch. 9.3 - Prob. 91E Ch. 9.3 - Prob. 92E Ch. 9.3 - Prob. 93E Ch. 9.3 - Prob. 94E Ch. 9.4 - In Exercises 1-5, fill in each blank with the...Ch. 9.4 - Prob. 2E Ch. 9.4 - Prob. 3E Ch. 9.4 - Prob. 4E Ch. 9.4 - Prob. 5E Ch. 9.4 - 6. Perimeter or Area? Decide whether perimeter or...Ch. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Prob. 8E Ch. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Prob. 10E Ch. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Prob. 12E Ch. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Prob. 14E Ch. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Prob. 18E Ch. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Prob. 20E Ch. 9.4 - Solve each problem. Window Side Length A...Ch. 9.4 - Prob. 22E Ch. 9.4 - Solve each problem. Dimensions of a Lot A lot is...Ch. 9.4 - Prob. 24E Ch. 9.4 - Solve each problem, Radius of a Circular...Ch. 9.4 - Prob. 26E Ch. 9.4 - Prob. 27E Ch. 9.4 - Prob. 28E Ch. 9.4 - Solve each problem, Search Area A search plane...Ch. 9.4 - Prob. 30E Ch. 9.4 - Prob. 31E Ch. 9.4 - Prob. 32E Ch. 9.4 - Prob. 33E Ch. 9.4 - Prob. 34E Ch. 9.4 - Prob. 35E Ch. 9.4 - Prob. 36E Ch. 9.4 - Prob. 37E Ch. 9.4 - Prob. 38E Ch. 9.4 - Prob. 39E Ch. 9.4 - Prob. 40E Ch. 9.4 - Each figure has the perimeter indicated. (Figures...Ch. 9.4 - Prob. 42E Ch. 9.4 - Each figure has the perimeter indicated. (Figures...Ch. 9.4 - Prob. 44E Ch. 9.4 - Prob. 45E Ch. 9.4 - Prob. 46E Ch. 9.4 - Each figure has the area indicated. Find the value...Ch. 9.4 - Prob. 48E Ch. 9.4 - Each circle has the circumference or area...Ch. 9.4 - Prob. 50E Ch. 9.4 - Each circle has the circumference or area...Ch. 9.4 - Prob. 52E Ch. 9.4 - Work the parts of this exercise in order, and make...Ch. 9.4 - Prob. 54E Ch. 9.4 - Prob. 55E Ch. 9.4 - Prob. 56E Ch. 9.4 - Prob. 57E Ch. 9.4 - Prob. 58E Ch. 9.4 - Prob. 59E Ch. 9.4 - Prob. 60E Ch. 9.4 - Prob. 61E Ch. 9.4 - Prob. 62E Ch. 9.4 - Prob. 63E Ch. 9.4 - Prob. 64E Ch. 9.4 - Prob. 65E Ch. 9.4 - Prob. 66E Ch. 9.4 - Prob. 67E Ch. 9.4 - Prob. 68E Ch. 9.4 - Prob. 69E Ch. 9.4 - Prob. 70E Ch. 9.4 - Prob. 71E Ch. 9.4 - Prob. 72E Ch. 9.4 - Prob. 73E Ch. 9.4 - Prob. 74E Ch. 9.4 - Prob. 75E Ch. 9.4 - Prob. 76E Ch. 9.4 - Prob. 77E Ch. 9.4 - Prob. 78E Ch. 9.4 - Area of a Square The area of square PQRS is 1250...Ch. 9.4 - Prob. 80E Ch. 9.4 - Prob. 81E Ch. 9.4 - Prob. 82E Ch. 9.4 - Prob. 83E Ch. 9.4 - Prob. 84E Ch. 9.4 - 85. Area of a Quadrilateral Find the area of...Ch. 9.4 - Prob. 86E Ch. 9.4 - Prob. 87E Ch. 9.4 - Prob. 88E Ch. 9.5 - Decide whether each statement is true or false. A...Ch. 9.5 - Prob. 2E Ch. 9.5 - Decide whether each statement is true or false. A...Ch. 9.5 - Prob. 4E Ch. 9.5 - Decide whether each statement is true or false. 5....Ch. 9.5 - Decide whether each statement is true or false. A...Ch. 9.5 - Find (a) the volume and (b) the surface area of...Ch. 9.5 - Prob. 8E Ch. 9.5 - Find (a) the volume and (b) the surface area of...Ch. 9.5 - Find (a) the volume and (b) the surface area of...Ch. 9.5 - Find (a) the volume and (b) the surface area of...Ch. 9.5 - Prob. 12E Ch. 9.5 - Find (a) the volume and (b) the surface area of...Ch. 9.5 - Prob. 14E Ch. 9.5 - Prob. 15E Ch. 9.5 - Prob. 16E Ch. 9.5 - Volumes of Common Objects Find each volume. Use...Ch. 9.5 - Prob. 18E Ch. 9.5 - Prob. 19E Ch. 9.5 - Prob. 20E Ch. 9.5 - Prob. 21E Ch. 9.5 - Prob. 22E Ch. 9.5 - Prob. 23E Ch. 9.5 - Prob. 24E Ch. 9.5 - Prob. 25E Ch. 9.5 - Volumes of Common Objects Find each volume. Use...Ch. 9.5 - Prob. 27E Ch. 9.5 - Prob. 28E Ch. 9.5 - Prob. 29E Ch. 9.5 - Prob. 30E Ch. 9.5 - Prob. 31E Ch. 9.5 - Prob. 32E Ch. 9.5 - Prob. 33E Ch. 9.5 - Prob. 34E Ch. 9.5 - Solve each problem. Irrigation Tank An irrigation...Ch. 9.5 - Prob. 36E Ch. 9.5 - Prob. 37E Ch. 9.5 - Prob. 38E Ch. 9.5 - Prob. 39E Ch. 9.5 - Prob. 40E Ch. 9.5 - Prob. 41E Ch. 9.5 - Prob. 42E Ch. 9.5 - Prob. 43E Ch. 9.5 - Prob. 44E Ch. 9.5 - Prob. 45E Ch. 9.5 - Prob. 46E Ch. 9.5 - Prob. 47E Ch. 9.5 - Prob. 48E Ch. 9.5 - Prob. 49E Ch. 9.5 - Prob. 50E Ch. 9.5 - Exercises 49-58 require some ingenuity, but all...Ch. 9.5 - Prob. 52E Ch. 9.5 - Prob. 53E Ch. 9.5 - Prob. 54E Ch. 9.5 - Prob. 55E Ch. 9.5 - Prob. 56E Ch. 9.5 - Prob. 57E Ch. 9.5 - Prob. 58E Ch. 9.5 - Prob. 59E Ch. 9.5 - Euler's Formula Many crystals and some viruses are...Ch. 9.5 - Euler's Formula Many crystals and some viruses are...Ch. 9.5 - Prob. 62E Ch. 9.5 - Prob. 63E Ch. 9.5 - Prob. 64E Ch. 9.6 - Prob. 1E Ch. 9.6 - Prob. 2E Ch. 9.6 - Prob. 3E Ch. 9.6 - Prob. 4E Ch. 9.6 - Prob. 5E Ch. 9.6 - Prob. 6E Ch. 9.6 - Prob. 7E Ch. 9.6 - Prob. 8E Ch. 9.6 - Prob. 9E Ch. 9.6 - Prob. 10E Ch. 9.6 - Prob. 11E Ch. 9.6 - Prob. 12E Ch. 9.6 - Prob. 13E Ch. 9.6 - Prob. 14E Ch. 9.6 - Prob. 15E Ch. 9.6 - Prob. 16E Ch. 9.6 - Prob. 17E Ch. 9.6 - Prob. 18E Ch. 9.6 - Prob. 19E Ch. 9.6 - Prob. 20E Ch. 9.6 - Prob. 21E Ch. 9.6 - Prob. 22E Ch. 9.6 - Prob. 23E Ch. 9.6 - Prob. 24E Ch. 9.6 - Prob. 25E Ch. 9.6 - Prob. 26E Ch. 9.6 - Prob. 27E Ch. 9.6 - Prob. 28E Ch. 9.6 - Prob. 29E Ch. 9.6 - Prob. 30E Ch. 9.6 - Prob. 31E Ch. 9.6 - Prob. 32E Ch. 9.6 - Prob. 33E Ch. 9.6 - Prob. 34E Ch. 9.6 - Prob. 35E Ch. 9.6 - Prob. 36E Ch. 9.6 - Prob. 37E Ch. 9.6 - Prob. 38E Ch. 9.6 - Prob. 39E Ch. 9.6 - Prob. 40E Ch. 9.6 - Prob. 41E Ch. 9.6 - Prob. 42E Ch. 9.6 - Perform the indicated size transformation....Ch. 9.6 - Prob. 44E Ch. 9.6 - Prob. 45E Ch. 9.6 - Prob. 46E Ch. 9.6 - Prob. 47E Ch. 9.6 - Prob. 48E Ch. 9.6 - Prob. 49E Ch. 9.6 - Prob. 50E Ch. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Prob. 7E Ch. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Prob. 9E Ch. 9.7 - Prob. 10E Ch. 9.7 - In Exercises 11 and 12, project the given shape...Ch. 9.7 - Prob. 12E Ch. 9.7 - Prob. 13E Ch. 9.7 - Prob. 14E Ch. 9.7 - Prob. 15E Ch. 9.7 - Prob. 16E Ch. 9.7 - Prob. 17E Ch. 9.7 - Prob. 18E Ch. 9.7 - Prob. 19E Ch. 9.7 - Prob. 20E Ch. 9.7 - Prob. 21E Ch. 9.7 - Prob. 22E Ch. 9.7 - Prob. 23E Ch. 9.7 - Prob. 24E Ch. 9.7 - Prob. 25E Ch. 9.7 - Prob. 26E Ch. 9.7 - Prob. 27E Ch. 9.7 - Prob. 28E Ch. 9.7 - Prob. 29E Ch. 9.7 - Prob. 30E Ch. 9.7 - Give the genus of each object. a compact disc Ch. 9.7 - Give the genus of each object. a phonograph record Ch. 9.7 - Prob. 33E Ch. 9.7 - Prob. 34E Ch. 9.7 - Prob. 35E Ch. 9.7 - Prob. 36E Ch. 9.7 - Prob. 37E Ch. 9.7 - Prob. 38E Ch. 9.8 - Exercises 1-25 are taken from an issue of Student...Ch. 9.8 - Prob. 2E Ch. 9.8 - Prob. 3E Ch. 9.8 - Prob. 4E Ch. 9.8 - Prob. 5E Ch. 9.8 - Prob. 6E Ch. 9.8 - Prob. 7E Ch. 9.8 - Prob. 8E Ch. 9.8 - Prob. 9E Ch. 9.8 - Prob. 10E Ch. 9.8 - Prob. 11E Ch. 9.8 - Prob. 12E Ch. 9.8 - Prob. 13E Ch. 9.8 - Prob. 14E Ch. 9.8 - Prob. 15E Ch. 9.8 - Prob. 16E Ch. 9.8 - Prob. 17E Ch. 9.8 - Prob. 18E Ch. 9.8 - Prob. 19E Ch. 9.8 - Prob. 20E Ch. 9.8 - Prob. 21E Ch. 9.8 - Prob. 22E Ch. 9.8 - Prob. 23E Ch. 9.8 - Prob. 24E Ch. 9.8 - Prob. 25E Ch. 9.8 - Prob. 26E Ch. 9 - 1. Consider a angle. Answer each of the...Ch. 9 - Prob. 2T Ch. 9 - Prob. 3T Ch. 9 - Prob. 4T Ch. 9 - Prob. 5T Ch. 9 - Prob. 6T Ch. 9 - Explain why a rhombus must be a quadrilateral, but...Ch. 9 - 8. Which one of the statements A-D is false? A. A...Ch. 9 - Prob. 9T Ch. 9 - Identify each of the following curves as simple,...Ch. 9 - Prob. 11T Ch. 9 - Prob. 12T Ch. 9 - Prob. 13T Ch. 9 - Prob. 14T Ch. 9 - Prob. 15T Ch. 9 - 16. Area of a Shaded Figure What is the area (to...Ch. 9 - Prob. 17T Ch. 9 - Prob. 18T Ch. 9 - Prob. 19T Ch. 9 - Prob. 20T Ch. 9 - Prob. 21T Ch. 9 - Prob. 22T Ch. 9 - Prob. 23T Ch. 9 - Prob. 24T Ch. 9 - Prob. 25T Ch. 9 - Prob. 26T Ch. 9 - List several main distinctions between Euclidean...Ch. 9 - Prob. 28T Ch. 9 - Prob. 29T Ch. 9 - Prob. 30T

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To prove: The expression a 2 + b 2 = c 2 if the Pythagorean triple is given by ( a , b , c ) = ( 2 n , n 2 − 1 , n 2 + 1 ) , where n is a positive integer greater than 1.

Solution Summary: The author explains that if n is a positive integer greater than 1, then (a,b,c) is the Pythagorean triple.

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To prove: The expression a2+b2=c2 if the Pythagorean triple is given by (a,b,c)=(2n,n2−1,n2+1), where n is a positive integer greater than 1.

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Chapter 9 Solutions