We are going to go over the geometric mean in this lesson. First you'll learn about the definition of the geometric mean between two positive numbers and you'll see how it is connected to ratios and proportions. By solving the geometric mean you'll see that it is actually the square root of a product of the two numbers. For example, the geometric mean of 3 and 8 is the square root of 24. In similar triangles, if the altitude is drawn from the vertex of the right angle of a right triangle to its hypotenuse, then the two triangles formed are similar to the given triangle and to each other. You'll learn how this is connected to the geometric mean.
*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.