Geometric Mean

The geometric mean of 4 and 16 is

• 8

• 10

• 12

• Cannot be determined

The geometric mean of 8 and 18 is

• 13

• 12

• 11

• Cannot be determined

If g is the geometric mean of a and b, which of the following is NOT true?

• $\frac{a}{g}=\frac{b}{g}$

• $\frac{g}{a}=\frac{b}{g}$

• $ab=g^2$

• $\frac{a}{g}=\frac{g}{b}$

Find the length of AB.

• 36

• 18

• 6

• 12

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?

• $\frac{10}{x}=\frac{x}{14}$

• $\frac{10}{x}=\frac{x}{24}$

• $10^2+x^2=14^2$

• $10^2+x^2=24^2$

In right triangle ABC below, CD is the altitude to hypotenuse AB. If CD=6 and the ratio of AD to AB is 1:5, determine and state the length of BD.

• 2.68

• 7.2

• 14.4

• 3.1

How far is it across the lake?

• 4

• 6

• 9

• 12

Find the length of the altitude of triangle PQR.

• 6.9

• 48

• 24

• 0

Find the value of x.

• 0

• 48

• 4.9

• 24

Find the value of x.

• 12

• 16

• 9

• 6