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Which set of numbers represents the lengths of the sides of a triangle? 1) (5, 18, 13) (6, 17, 22) 2) 3) (16, 24, 7) (26, 8, 15) 4)

Which set of numbers represents the lengths of the sides of a triangle? 1) (5, 18, 13) (6, 17, 22) 2) 3) (16, 24, 7) (26, 8, 15) 4)

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 38A: Three pieces, each in the shape of a sector, are cut from the rectangular sheet of steel shown. How...
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10. In the diagram below of AABC, Dis a point on A plot of land is in the shape of thombus ABCD as shown below. 11. AB, AC-7, AD- 6, and BC- 18. N to (N e) The length of DB could be Which can.net be the length of diagonal AC? 1) 2) 3) 4) 24 m 1) 12 5 2) 3) 4) 18 m 19 11 m 25 4 m 12. In AABC, mLA - 60, mZB= 80, and m2C= 40. Which inequality is true? 13. In AABC, mLA = 95, mZB= 50, and m2C= 35. Which expression correctly relates the lengths of the sides of this triangle? 1) AB > BC 2) AC> BC 3) AC< BA 4) BC< BA 1) AB < BC < CA 2) AB <AC < BC 3) AC< BC< AB 4) BC< AC< AB On the banks of a river, surveyors marked locations 4, B, and C. The measure of ZACB = 70° and the measure of ZABC = 65° . 16. 17. As shown in the diagram of AACD below, B is a point on AC and DB is drawn. Which expression shows the relationship between the lengths of the sides of this triangle? IEMLA - 66, M2CDB = 18, and mC= 24, what is the longest side of AABD? 1) AB < BC <AC 2) BC< AB < AC 3) BC < AC< AB 4) AC< AB < BC 1) AB 2) DC 3) AD 4) BD In the diagram at right of AABC with side AC extended through D, mLA = 37 and,m/BCD= 117. Which side of AABC is the longest side? Justify your answer. 18. 37 117 C (Not drawn to scale)
Transcribed Image Text:10. In the diagram below of AABC, Dis a point on A plot of land is in the shape of thombus ABCD as shown below. 11. AB, AC-7, AD- 6, and BC- 18. N to (N e) The length of DB could be Which can.net be the length of diagonal AC? 1) 2) 3) 4) 24 m 1) 12 5 2) 3) 4) 18 m 19 11 m 25 4 m 12. In AABC, mLA - 60, mZB= 80, and m2C= 40. Which inequality is true? 13. In AABC, mLA = 95, mZB= 50, and m2C= 35. Which expression correctly relates the lengths of the sides of this triangle? 1) AB > BC 2) AC> BC 3) AC< BA 4) BC< BA 1) AB < BC < CA 2) AB <AC < BC 3) AC< BC< AB 4) BC< AC< AB On the banks of a river, surveyors marked locations 4, B, and C. The measure of ZACB = 70° and the measure of ZABC = 65° . 16. 17. As shown in the diagram of AACD below, B is a point on AC and DB is drawn. Which expression shows the relationship between the lengths of the sides of this triangle? IEMLA - 66, M2CDB = 18, and mC= 24, what is the longest side of AABD? 1) AB < BC <AC 2) BC< AB < AC 3) BC < AC< AB 4) AC< AB < BC 1) AB 2) DC 3) AD 4) BD In the diagram at right of AABC with side AC extended through D, mLA = 37 and,m/BCD= 117. Which side of AABC is the longest side? Justify your answer. 18. 37 117 C (Not drawn to scale)
Triangle Inequalities Name: Period: MGS21 Date: Which set of numbers represents the lengths of the 2. sides of a triangle? Phil is cutting a triangular piece of tile. If the triangle is scalene, which set of numbers could represent the lengths of the sides? 1. 1) (5, 18, 13) 2) (6,17, 22) 1) (2,4,7) 3) (16, 24, 7) 2) (4,5,6} 4) (26, 8, 15) 3) (3,5,8) 4) (5,5,8) 3. Which set can not represent the lengths of the Iftwo sides of a triangle are 1 and 3, the third side may be 4. sides of a triangle? 1) (4,5,6} 2) (5,5, 11) 3) (7,7,12) 4) (8,8, 8) 1) 5 2) 2 3) 3 4) 4 5. In AABC, AB = 5 feet and BC- 3 feet. Which inequality represents all possible values for the length of AC, in feet? The direct distance between city A and city B is 200 miles. The direct distance between city B and city C is 300 miles. Which could be the direct distance between city C and city 4? 6. 1) 2S ACS8 2) 2 < AC < 8 3) 3S ACS7 4) 1) 350 miles 50 miles 2) 3) 550 miles 650 miles 3< AC <7 4) How many integer values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle? 7. A box contains one 2-inch rod, one 3-inch rod, one 4-inch rod, and one 5-inch rod. What is the maximum mumber of different triangles that can be made using these rods as sides? 8. 1) 2) 6 1) 1 2) 2 3) 3 3) 3 4) 13 4) 4 José wants to build a triangular pen for his pet rabbit. He has three lengths of boards already cut that measure 7 feet, 8 feet, and 16 feet. Explain why José cannot construct a pen in the shape of a triangle with sides of 7 feet, 8 feet, and 16 feet. 9.
Transcribed Image Text:Triangle Inequalities Name: Period: MGS21 Date: Which set of numbers represents the lengths of the 2. sides of a triangle? Phil is cutting a triangular piece of tile. If the triangle is scalene, which set of numbers could represent the lengths of the sides? 1. 1) (5, 18, 13) 2) (6,17, 22) 1) (2,4,7) 3) (16, 24, 7) 2) (4,5,6} 4) (26, 8, 15) 3) (3,5,8) 4) (5,5,8) 3. Which set can not represent the lengths of the Iftwo sides of a triangle are 1 and 3, the third side may be 4. sides of a triangle? 1) (4,5,6} 2) (5,5, 11) 3) (7,7,12) 4) (8,8, 8) 1) 5 2) 2 3) 3 4) 4 5. In AABC, AB = 5 feet and BC- 3 feet. Which inequality represents all possible values for the length of AC, in feet? The direct distance between city A and city B is 200 miles. The direct distance between city B and city C is 300 miles. Which could be the direct distance between city C and city 4? 6. 1) 2S ACS8 2) 2 < AC < 8 3) 3S ACS7 4) 1) 350 miles 50 miles 2) 3) 550 miles 650 miles 3< AC <7 4) How many integer values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle? 7. A box contains one 2-inch rod, one 3-inch rod, one 4-inch rod, and one 5-inch rod. What is the maximum mumber of different triangles that can be made using these rods as sides? 8. 1) 2) 6 1) 1 2) 2 3) 3 3) 3 4) 13 4) 4 José wants to build a triangular pen for his pet rabbit. He has three lengths of boards already cut that measure 7 feet, 8 feet, and 16 feet. Explain why José cannot construct a pen in the shape of a triangle with sides of 7 feet, 8 feet, and 16 feet. 9.
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