Altitude Theorem Geometric Mean

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

• 80

• 40

• 0

• 8.9

Find the length of the altitude of triangle PQR.

• 6.9

• 48

• 24

• 0

x=?

• 3

• 5

• 4

• 6

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

When the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the segments of the hypotenuse.

• True

• False

When the altitude is drawn to the hypotenuse of a right triangle, each leg is the geometric mean between the hypotenuse and the segment of the hypotenuse that is adjacent to the leg

• True

• False

What rule or theorem describes, “In a right triangle, the altitude from the right angle of the right triangle to the hypotenuse divides the hypotenuse into two segments, and then the length of altitude is the geometric mean of the lengths of the two segments”?

• Geometric Mean

• Geometric Mean Altitude Theorem

• Geometric Mean Leg Theorem

• Acute- Angle Theorem

Find the approximate height h of the waterfall.

• 156.8 ft

• 161.8 ft

• 171.8 ft

• 166.8 ft