Similar Right Triangles and Geometric Mean

Find the geometric mean of 3 and 27

• 15

• 30

• 9

• 3

Find the geometric mean of 5 and 8

• 4

• 10

• 2√10

• 4√10

Find the length of the altitude (QS). (Hint: find SR first.)

• 12

• √180

• 6√5

• 5√6

Find the value of x.

• 15√5

• 5√5

• 5√3

• 3√5

Find the geometric mean of 6 and 8.

• 16√3

• 4√3

• 3√4

• 3√16

What is the value of f?

• 20

• 15

• 25

• 50

How far is it across the lake?

• 4

• 6

• 9

• 12

In the accompanying diagram of right triangle ABC, CD is drawn perpendicular to hypotenuse AB. If AB=16 and DB=4 find the length of BC.

• 0

• 8

• 32

• 64

In the accompanying diagram, triangle ABC is a right triangle and CD is the altitude to hypotenuse AB. If AD=4 and DB=16 find the length of CD.

• 0

• 64

• 8

• 32

Find the length HK of of right triangle GHK.

• 300

• 0

• 150

• 17.3