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Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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In Exercises 6-11, use AQRS where A, B, and C are the midpoints of the sides. A 9. When CA = 3x - 1 and SR = 5x + 4, what is CA? %3D 10. When QS = 6x and CS = 5x - 8, what is AB? %3D %3D 11. When QR = 5x + 2 and CB = 2x + 5, what is AR? 12. Your friend claims that because each midsegment is half as long as the corresponding side of the triangle, the perimeter of the midsegment triangle is half the perimeter of the original triangle. Is your friend correct? Explain your reasoning. 13. A building has the shape of a pyramid with a square base. The midsegment parallel to the ground of each triangular face of the pyramid has a length of 58 feet. Find the length of the base the pyramid. 58 ft
Transcribed Image Text:In Exercises 6-11, use AQRS where A, B, and C are the midpoints of the sides. A 9. When CA = 3x - 1 and SR = 5x + 4, what is CA? %3D 10. When QS = 6x and CS = 5x - 8, what is AB? %3D %3D 11. When QR = 5x + 2 and CB = 2x + 5, what is AR? 12. Your friend claims that because each midsegment is half as long as the corresponding side of the triangle, the perimeter of the midsegment triangle is half the perimeter of the original triangle. Is your friend correct? Explain your reasoning. 13. A building has the shape of a pyramid with a square base. The midsegment parallel to the ground of each triangular face of the pyramid has a length of 58 feet. Find the length of the base the pyramid. 58 ft
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