Notes – Lesson 7.4 Geometry Name __________________________________ Definition. Geometric Means. If the altitude is drawn to the hypotenuse of a right triangle, then the measure of the altitude is the geometric mean between the measure of the parts of the hypotenuse. AD CD CD BD Sketch a picture and then find the geometric mean of each pair of numbers. Leave answers in radical form, if needed. 1. 4 and 9 2. 4 and 10 3. 4 and 12 4. 3 and 48 Refer to the figure to complete each proportion. 5. small to medium r h h 7. large to medium b b s 6. large to small c a a 8. small to large r 9. small to medium r h s c 10. medium to large s b c Find the value of x. 11. medium and small 12. medium and small 13. small and large 14. large and medium 15. medium and small 16. medium and small Combination Examples. 17. A service station will be built on the highway, and a road will connect it with Cray. a. How far from Blare should the service station be located so that the proposed road will be perpendicular to the highway? b. How long will the new road be? Find the values of the variables. 18. 19. 20.