University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2020
Views:

197

Pages:

4
Author:

eishuma5iuk

Worksheet on Geometric Mean Show all work!!! I. Simplify each radical. Name ANSWER KEY Date Period 1. sqrt(8) 252 2. sqrt(48) 3. 1/(sqrt(2)) ((sqrt(2))/2) 4. sqrt(3/5) (3sqrt(5))/5 ) 5. 2/(3sqrt(5)) (2sqrt(5))/15 II. Find the geometric mean between each pair of numbers. 6. 2 and 8 4) 7. 9 and 16 12. 8. 4 and 5 9. sqrt(3) and sqrt(5) 10. 5 and 1.25 2.5 III. NOTES h is the ALTITUDE h is the geometric mean between X and y h b X y a is a LEG a is the geometrie mean between. X and 2 11. y Z X bisa LEG b is the geometric mean between y and 12. 15 Z 25 6 24 20 x = 12 2 12 / xi y = 6sqrt(5) y- 16 12 x ^ 2 = 144 x ^ 2 = 720 25X = 225 deg 25y / eta_{0} w = 16 z ^ 2 = 144 12 q/2 = ? 14 24/z = z/30 y/20 = 20/25 6/x = x/24 6/y = y/30 x/15 = 15/25 x = 9 4sqrt(3) ) y ^ 2 =1\$0 2sqrt(5) ) x = 9 MORE PRACTICE: Simplify each radical. 1. sqrt(144) =\ 12 2. sqrt(50) = 5sqrt(2) 3. sqrt(81/100) =\ q I 0 4. (sqrt(3))/(sqrt(7)) - (sqrt(21))/7 5. sqrt(49/12) = 7sqrt(12) * 12e 6. 5/(sqrt(5)) = sqrt(5) 7. 3/(sqrt(121)) = 3/11 8. 6 sqrt 72 = underline - (sqrt(2))/2 Find the geometric mean of each pair of numbers. 9. 7 and 9 3sqrt(7) 10. 14 and 14 14 11. 2sqrt(3) * z √3 3√2 12. 8sqrt(2) and sqrt(2) 4 13. 10 and 8.1 9 14. 8 9/16 * and * 25/36 Find the indicated length. 15. 16. 3 12 X 3x = 36 6 x = 12 13 W y y 2 2 15 25 M w= 5 ur 2.08 x= 12 y=5427/12 or 14.08 z ^ 2 = 45 X 12 y = 6sqrt(5) 2= 355 17. 6 18. y X 15 10 8 5sqrt(3) 10 2 X X 40 or 13.33 32/3 or 10.67 (6y)/L_{s} = (by)/b_{s} 9/8 = 8/6 (3 3/3)/x = x/(59/3) y = 32/3 or 10.7 x = 40/3 y 18 2 x = 3 3sqrt(30) 15x = 75 x = 3 x ^ 2 = 1600/9 (w ^ 2)/w = w/(2 1/2) x/(5sqrt(3)) = (8sqrt(3))/15 w ^ 2 = 2.5 15/z = z/18 3/6 = 6/x (vx)/y = y/15 (t*Sigma)/y = y/((16eta)/12) y^ 2 >= 4125 |4| * 4 | y ^ 2 = 180 hat t ^ 2 = 270 27/12 = 169/12 2/3 = 13/2 19. 6 Z X 12 6.75/y = y/18.75 y ^ 2 = 126.5625 x/9 = 9/12 (12x)/12 = 81/12 x = 27/4 12/z = z/18.15 2 ^ 2 = 225 27 4 or 6.75 y = 45/4 * or * 10.25 15 X 2 aligned x = 8 - 7.4 -12.7 20. 212.7 5 Π y 15 z/15 = 15/(z + 5) 2 ^ 2 + 52/225 7 ^ 2 + 52 - 225 = 0 NUT FACTORABLE *QUADRMIC FORMULA x_{7}*z = (- b + sqrt(b ^ 2 - 4ac))/26 z = (- 5sqrt(5 ^ 2 - 4(1)(- 275)))/(2(1)) Z=^ - 5 plus/minus sqrt(25 + g_{0}) 2-51425-5159 2 2 2:12.7) 0r - 11.7 5/x = x/17.7 (x ^ 2) / 88.5 x = 9.4 12.7/y = y/5 y ^ 7 = 63.5 y = 7.961 21. Z y X x = 3sqrt(13) y = 6 x = 2sqrt(13) 4 9 y/y = y/4 y ^ 2 = 36 9/x = x/13 x ^ 2 - 117 4/7 = 7/13 Z ^ 2 = 52