Question

what is mean by geometric means

Answer 1

Answer:

In mathematics, the geometric mean is a mean or average, which indicates the central tendency or typical value of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum).

Answer 2

Explanation:

Geometric mean there are two positive numbers, a and b, the positive number x that satisfies $\displaystyle \frac{a}{x}=\frac{x}{b}$.

Geometric mean leg theorem: is the altitude of hypotenuse of a right triangle intersects it so that the length of each leg is the geometric mean between the length of its adjacent segment of the hypotenuse and the length of the entire hypotenuse.  

$\displaystyle \frac{x+y}{a}=\frac{a}{y}=\frac{x+y}{b}=\frac{b}{x}$

Here it is a picture of geometric mean leg theorem: