8-2 Pythagorean Theorem Worksheet day 2
Transcription
8-2 Pythagorean Theorem Worksheet day 2
NAME DATE PERIOD Name _____________________________________ Hour ______ Theorem Worksheet Day 2 8-2 8-2 Pythagorean Skills Practice For exercises 1 - 9, refer to the triangle. Find the missing side length. Round to the nearest tenth if needed. The Pythagorean Theorem and Its Converse Find x. 1. 2. x 8-2 Skills Practice DATE x Practice DATE Practice 2. a = 5, b = 12, c =5. _______ 9 x. xFind 12.5 x 5. a = 9, b = 12, c = _______ NAME 12 ThePERIOD Pythagore 1. 6. 9 6. 1. a = ______, b = 36, cx = 39 DATE 2. 14 3. PERIOD x 13 8. a = 3, b = 4, c = ________ 9. a = 5, b =23______, c = 8 PERIOD The Pythagorean 8-2 Practice Theorem and Its13Converse 25 7. a = 7, b = _______,DATE c = 25 Find x. the value of x. Find DATE x 1. x5 23 and Its Converse rean Theorem 23 3. 34 13 21 3. x x 21 14. 4. x 34 5. 16 5. 16 x x x 14 14 to find 18.x. Use o find x. 34 x2. 26 26 8. 8. 27 36 x 36 136 x x 26 6. x Skills Practice 18 x 21 26 8 x 10 26x22 18 20 x The Pythagorean Theo 18 13. 1207, 9. x 11. 4. x 136 x x 14. 8, 14, 20 25 136 x 120 5. 12. 40 x 15. 12.5, 13, 26 65 10. 8 120 65 39 42 x 17. 20, 21, 29 18. 32, 35, 70 Use a Pythagorean Triple to find x. x Determine whether each set of numbers can be measure of the si Copyright © Glencoe/McGraw-Hil 42 x 25 Copyright © Glencoe/McGraw-Hill, a d 65 150 19. 12025 24, x 39 3. 8. Determine whether each set12.5 of numbers can 9 x be9.measure of39the sides of9 a xtrian x If so, classify the triangle as acute, obtuse, or right. Justify your answer. 24 136 ", 4 16. 3 √" 2 , √7 10. 42 8 34 9 x Use a Pythagorean Triple to find x. 15.2634 16. 17. a Pythagorean Triple to 18 Use 4. 5. 6. Find x. 24 24 x x x 7. 8. 7. 9. 16 27 x 5. 6. x 48 10. 12. 22 x 11. 24 422. 24 x 1. 5 14 x 25 6. 16 8 24 24 x x x 22 x 50 9 6. 24 20 24 24 x 42 40 x 36 14 10 x 12 42 1 Use a Pythagorean Triple to find x. 42 12 65 27 7. 8. x 10. 8-2 34 12 and 13. Its Converse 3.9. 26 12 5.x 4. 9 21 25 a Pythagorean Triple to10. find x. 7. 9. NAME 8. x 12.5 x12 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 34 12 26 13 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2. x 9 PERIOD The Pythagorean Theorem Use11.a Pythagorean Triple to12. find x. Find x. orean Its 2. 1. Theorem and 7. Converse 4. 2. 8 x 12 10. PE 32 The PythagoreanFind Theorem and Its Convers 3. a = x. ______, b = 15, c31= 17 1. a = 10, b = 24, c = _______4. 4. a = 14, b = ______, c = 50 3. 8-2 12 8-2 12 NAME x 9NAME NAME 13 150 If so, classify the triangle as acute, obtuse, or whether right. Justify your Determine each seta 13. 7, 24, 25 7. 8. the triangle as 1a 14.If8,so, 14, classify 20 15. 12.5, x 11. 10, 11, 20 1 5 13 Glencoe Geo 10. 8 Determine whether each set of numbers can be measure of the sides of a triangle 150 42 If so, classify the triangle as acute, obtuse, or right. Justify your answer. Chapter 8 20. This one is a little more challenging. Find x. You will have to use FOIL!! 21. What type of triangle has two congruent sides and two angles measuring 45 degrees? A. isosceles B. right isosceles C. right D. equilateral 22. Find the length of the diagonal of a rectangle whose length is 8 m and width is 5 m. 23. A baseball diamond is a square 90 ft on a side. What is the length from first base to third base? 24. A 26-foot ladder is leaning against a building. The foot of the ladder is 10 feet away from the building. How far above the ground does the ladder touch the wall? Determine whether each set of numbers can be the measure of the sides of a triangle. (HINT: The two smallest sides must add to GREATER than the third side). If so, classify the triangle as acute, obtuse, or right. 25. 10, 11, 20 26. 30, 40, 50 27. 65, 72, 97 28. 8, 14, 20 29. 20, 21, 29 30. 7, 24, 25 31. 6, 8, 10 32. 20, 100, 110 33. 2, 5, 6 34. 13, 21, 24 35. 18, 24, 30 36. 32, 35, 70 BONUS QUESTIONS!! :) MUST SHOW ALL WORK. 3 BONUS POINTS. In the rectangular box below, EF = 16, FD = 5, and DB = 30. Find AF. MUST SHOW ALL WORK. 5 BONUS POINTS. You can round each answer to the nearest tenth.