8.1 Geometric Mean Practice

Front

What is the geometric mean of two positive numbers a and b?

Back

The geometric mean is defined as the square root of the product of the two numbers: √(a * b).

Tags

CCSS.8.EE.A.2

Front

Calculate the geometric mean of 4 and 9.

Back

6

Front

Calculate the geometric mean of 2 and 25.

Back

5√2

Front

Calculate the geometric mean of 5 and 8.

Back

2√10

Front

In a right triangle, what is the relationship between the altitude to the hypotenuse and the segments it creates?

Back

The altitude to the hypotenuse creates two segments that are proportional to the lengths of the other two sides of the triangle.

Tags

CCSS.HSG.SRT.B.4

Front

If the geometric mean of x and 16 is 8, what is the value of x?

Back

x = 4.

Tags

CCSS.8.EE.A.2

Front

What is the formula for finding the geometric mean of n numbers?

Back

The geometric mean of n numbers is the n-th root of the product of the numbers: (x1 * x2 * ... * xn)^(1/n).

Tags

CCSS.8.EE.A.2

Front

Find the geometric mean of 1 and 100.

Back

10.

Front

In a right triangle, if the lengths of the legs are 6 and 8, what is the length of the hypotenuse?

Back

10 (using the Pythagorean theorem).

Tags

CCSS.8.G.B.7

Front

What is the geometric mean of 3 and 12?

Back

6.

Tags

CCSS.8.EE.A.2