Geometric Mean

Find the geometric mean of 8 and 18.

• 12

• 8

• 72

• 36

Find the geometric mean of 20 and 25.

• 22

• 22.4

• 24.2

• 23

15 is the geometric mean of 25 and what other number?

• 9

• 15

• 25

• 12

8 is the geometric mean of 4 and what other number?

• 12

• 14

• 8

• 16

Solve for the missing variable.

• 8.9

• 12

• 9.8

• 8

Solve for the missing variable.

• 5

• 2.5

• 5.2

• 4.9

The accompanying diagram shows a 24-foot ladder leaning against a building. A steel brace extends from the ladder to the point where the building meets the ground. The brace forms a right angle with the ladder.If the steel brace is connected to the ladder at a point that is 10 feet from the foot of the ladder, which equation can be used to find the length, x, of the steel brace?

• $\frac{10}{x}=\frac{x}{14}$

• $\frac{10}{x}=\frac{x}{24}$

• $10^2+x^2=14^2$

• $10^2+x^2=24^2$

Solve for the missing variables.

• x = 6.3 and y = 7.7

• x = 7.7 and y = 6

• x = 7.7 and y = 6.3

• x = 7.7 and y = 6

Solve for the missing variables.

• x = 9.5 and y = 15

• x = 15 and y = 9

• x = 12 and y = 9

• x = 9 and y = 15

How far is it across the lake?

• 4 km

• 6 km

• 9 km

• 12 km