Get Worksheet 8 1 Geometric Mean Answer Key

The geometric mean of 8 and 18 is equal to 12.

So, geometric mean of 20,45 is 20×45 =5×4×9×5 =5×2×3=30.

For example, the geometric mean calculation can be easily understood with simple numbers, such as 2 and 8. If you multiply 2 and 8, then take the square root (the ½ power since there are only 2 numbers), the answer is 4.

What Is the Geometric Mean? In statistics, the geometric mean is calculated by raising the product of a series of numbers to the inverse of the total length of the series. The geometric mean is most useful when numbers in the series are not independent of each other or if numbers tend to make large fluctuations.

Now the product of 4 and 16 is 64. The geometric mean is given by the root of the product of the two numbers. So the geometric mean of 4 and 16 will be the root of 64. Thus 8 is the geometric mean of 4 and 16.

1:04 2:51 Leg Geometric Mean Theorem - YouTube YouTube Start of suggested clip End of suggested clip So that's 4 we cross multiply we get x squared equals 36. And if we take the square root we get 6.MoreSo that's 4 we cross multiply we get x squared equals 36. And if we take the square root we get 6. So that's the length of the leg of the overall right triangle.

Geometric Mean (Altitude) Thm. The altitude drawn to the hypotenuse of a right triangle separates the hypotenuse into two segments. The length of this altitude is the geometric mean between the lengths of these two segments. If CD is the altitude to hypotenuse AB of right triangle ABC, then x/h=h/y.

Geometric Mean The geometric mean between two numbers is the square root of their product. For two positive numbers a and b, the geometric mean of a and b is the positive number x in the proportion Cross multiplying gives x2 = ab, so x = Vab.