[PDF] [PDF] Study Guide and Intervention The Pythagorean Theorem and Its

[PDF] Study Guide and Intervention The Pythagorean Theorem and Its

11 Glencoe Geometry Study Guide and Intervention The Pythagorean Theorem and Its Converse The Pythagorean Theorem In a right triangle, the sum of the

[PDF] Geometry Homework 71 72 ANSWER KEYSpdf

NAME - Kew - 7-2 Study Guide and Intervention The Pythagorean Theorem and Its Converse The Pythagorean Theorem In a right triangle, the sum of the

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8-2 Study Guide and Intervention (continued) The Pythagorean Theorem and its Converse Converse Then state whether they form a Pythagorean triple 1 30, 40 Make sure your answer is in simplified radical form without any radicals in

[PDF] The Pythagorean Theorem and Its Converse

Example 1 Chapter 8 13 Glencoe Geometry Lesson 8-2 8-2 Study Guide and Intervention The Pythagorean Theorem and Its Converse NAME 

[PDF] Chapter 8 Resource Masters

Example 1 Chapter 8 13 Glencoe Geometry Lesson 8-2 8-2 Study Guide and Intervention The Pythagorean Theorem and Its Converse NAME 

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The Pythagorean Theorem and its Converse The Pythagorean Theorem In a right triangle, the sum of the squares of _PERIOD 7-2 Study Guide and Intervention (continued) Express answers as a fraction and as a decimal rounded to the

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5 déc 2018 · completed Study Guide and Intervention Workbook can help you in reviewing for quizzes and tests answers to these worksheets are available at the end of each Chapter 8-2 The Pythagorean Theorem and Its Converse, Inverse, and Contrapositive If you change the hypothesis or conclusion

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13 avr 2014 · Example 1 Chapter 8 13 Glencoe Geometry Lesson 8-2 8-2 Study Guide and Intervention The Pythagorean Theorem and Its Converse

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8-2 Study Guide and Intervention The Pythagorean Theorem and Its Converse △ABC is a right triangle, Justify your answer 15 30, 40, 50 16 20, 30, 40 17

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Use the Pythagorean Theorem to find the distance between each pair of points 9 A(0, 0) You can prove a theorem and its converse about isosceles triangles answer 1 A(3, 1), B(3, 3), C(3, 3), D(3, 1) 2 A(3, 0), B(2, 3), C(4, 5), D(3, 2) 3

pdf NAME DATE PERIOD 8-2 Study Guide and Intervention

The Pythagorean Theorem and Its Converse The Pythagorean Theorem In a right triangle the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse If the three whole numbers ab and c satisfy the equation a2 + 2b = c2 then the numbers a b and c form a Pythagorean triple c a b A C B a Find a a 12

The Pythagorean Theorem and Its Converse

The Pythagorean Theorem In a right triangle the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse If the three whole numbers a b and c satisfy the equation 2 + 2 = 2 then the numbers a b and c form a Pythagorean triple Example : Find a Find c ABC is a right triangle so 2 + 2 = 2

The Pythagorean Theorem and Its Converse

The Pythagorean TheoremIn a right triangle the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse 2ABCis a right triangle so a b2c2 Prove the Pythagorean Theorem With altitude CD each leg aand bis a geometric mean between hypotenuse cand the segment of the hypotenuse adjacent to that leg a c 2

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Lesson 8-2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD

Chapter 8 11 Glencoe Geometry

Study Guide and Intervention

The Pythagorean Theorem and Its Converse

The Pythagorean Theorem In a right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse. If the three whole numbers a , b, and c satisfy the equation a2 + b 2 = c 2 , then the numbers a , b, and c form a

Pythagorean triple.

ca b ACB a. Find a. a 1213
ACB a2 + b 2 = c 2

Pythagorean Theorem

a 2 + 12 2 = 13 2 b = 12, c = 13 a 2 + 144 = 169 Simplify. a 2 = 25 Subtract. a = 5 Take the positive square root of each side. b. Find c. c

3020ACB

a 2 + b 2 = c 2

Pythagorean Theorem

20 2 + 30 2 = c 2 a = 20, b = 30

400 + 900 = c

2

Simplify.

1300 = c

2 Add. ⎷ ?? 1300 = c Take the positive square root of each side.

36.1 ≈ c Use a calculator.

Find x.

1. x33 2. x 159
3. x65 25 4.
x 5 9 4 9 5. x 3316
6. x 11

28Use a Pythagorean Triple to find x.

7. 8 17 x 8. 45
24x
9. 28
96x

8-2Example

Exercises

? ABC is a right triangle. so a 2 + b 2 = c 2 1 3

1345≈ 36.7

663≈ 25.7

18 or 3

2 ≈ 4.2 12 60

15 51 100

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD

Chapter 8 12 Glencoe Geometry

ca b AC B

Study Guide and Intervention (continued)

The Pythagorean Theorem and Its Converse

Converse of the Pythagorean Theorem If the sum of the squares of the lengths of the two shorter sides of a triangle equals the square of the lengths of the longest side, then the triangle is a right triangle. You can also use the lengths of sides to classify a triangle. If a 2 + b 2 = c 2 , then if a 2 + b 2 = c 2 then ABC is a right triangle. ?ABC is a right triangle. if a 2 + b 2 > c 2 then ABC is acute. if a 2 + b 2 < c 2 then ABC is obtuse.

Determine whether ?PQR is a right triangle.

a 2 + b 2 ? c 2

Compare c

2 and a 2 + b 2 10 2 + (10 ⎷ ? 3 ) 2 ? 20 2 a = 10, b = 10 ⎷ ? 3 , c = 20

100 + 300 ? 400 Simplify.

400 = 400? Add.

Since c

2 = and a 2 + b 2 , the triangle is a right triangle.

Exercises

Determine whether each set of measures can be the measures of the sides of a triangle. If so, classify the triangle as acute , obtuse, or right. Justify your answer.

1. 30, 40, 50 2. 20, 30, 40 3. 18, 24, 30

4. 6, 8, 9 5. 6, 12, 18 6. 10, 15, 20

7. ⎷ ? 5 , ⎷ ?? 12 , ⎷ ?? 13 8. 2, ⎷ ? 8 , ⎷ ?? 12 9. 9, 40, 41 2010

10⎷3

8-2

Example

yes, right; yes, obtuse; yes, right; 50
2 = 30 2 + 40 2 40
2 > 20 2 + 30 2 30
2 = 24 2 + 18 2 yes, acute; no; 6 + 12 = 18 yes, obtuse; 9 2 < 6 2 + 8 2 20 2 > 10 2 + 15 2 yes, acute; yes, right; yes, right; 13 2 5 2 12 2 12 2 8 2 + 2 2 41
2 = 40 2 + 9 2quotesdbs_dbs5.pdfusesText_9