Geometric Mean Altitude Theorem

In right triangle ABC, altitude CD is drawn to hypotenuse AB. Find the length of BC.

• 80

• 40

• 0

• 8.9

x=?

• 3

• 5

• 4

• 6

Find the length of AB.

• 36

• 18

• 6

• 12

Which variable letter/represents the altitude of this right triangle?

• x

• y

• z

• none

Solve for x.

• x = 5√2

• x = 5√3

• x = 5√6

• x = 5

Find the value of x.

• 12

• 4√2

• √32

• 16

Solve for x.

• x = 2√6

• x = √33

• x = 12

• x = 8

In a right triangle, the altitude to the hypotenuse is the ________  _________of the  segments  in the hypotenuse.  

• altitude

• leg opposite

• geometric mean

• opposite side

Refer to the figure. Find the length of the segment a. Note: segment a is an altitude and the length of the segments of hypotenuse are 16 and 4.

• 6

• 7

• 8

In a right triangle, the___________ to the hypotenuse divides the triangle into similar triangles, each triangle similar to the given triangle.

• altitude

• leg

• geometric mean

• hypotenuse