The arithmetic mean between two numbers r and s is defined to bea. CM is the median and
Chapter 8, Problem 45(choose chapter or problem)
The arithmetic mean between two numbers r and s is defined to bea. CM is the median and CH is the altitude to the hypotenuseof right AABC. Show that CM is the arithmetic meanbetween AH and BH, and that CH is the geometricmean between AH and BH. Then use the diagram toshow that the arithmetic mean is greater than the geometricmean.r + sA H Mb. Show algebraically that the arithmetic mean between two different numbersr and s is greater than the geometric mean. (Hint: The geometric meanis y/rs. Work backward from -reverse the steps.)
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