Geometric Mean Altitude and Leg Theorem

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

Tags

CCSS.8.G.B.8

Solve for x. Use Property 2

Tags

CCSS.HSG.CO.C.9

How long is the altitude of a right triangle that separates the hypotenuse into lengths 13 and 52?

(a)  

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

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

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.SRT.C.8

Use the given figure below to find the measure of BD if AD = 18 and DC = 8.

• 11

• 12

• 14

• 15

Tags

CCSS.HSG.CO.C.9

Solve for the missing variable.

• 10

• 6

• 9

• 8