Altitude/Leg Geometric Mean Practice (BFA)

Find the length of AB.

• 36

• 18

• 6

• 12

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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?

• $\frac{10}{x}=\frac{x}{14}$

• $\frac{10}{x}=\frac{x}{24}$

• $10^2+x^2=14^2$

• $10^2+x^2=24^2$

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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.SRT.B.4

CCSS.HSG.SRT.C.8

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

• 80

• 40

• 0

• 8.9

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the length of the altitude of triangle PQR.

• 6.9

• 48

• 24

• 0

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.9

Find the length HK of of right triangle GHK.

• 300

• 0

• 150

• 17.3

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the value of x.

• 0

• 48

• 4.9

• 24

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8