Quiz about Geometric Mean Altitude Theorem

Question 1

Find the length of AB.

Accepted Answer

6

Answer

36

Answer

18

Answer

12

Question 2

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.

Accepted Answer

2.68

Answer

7.2

Answer

14.4

Answer

3.1

Question 3

How far is it across the lake?

Accepted Answer

9

Answer

4

Answer

6

Answer

12

Question 4

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.

Accepted Answer

8

Answer

0

Answer

64

Answer

32

Question 5

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.

Accepted Answer

8

Answer

0

Answer

32

Answer

64

Question 6

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

Accepted Answer

8.9

Answer

80

Answer

40

Answer

0

Question 7

Find the length of the altitude of triangle PQR.

Accepted Answer

6.9

Answer

48

Answer

24

Answer

0

Question 8

Find the length HK of of right triangle GHK.

Accepted Answer

17.3

Answer

300

Answer

0

Answer

150

Question 9

Find the value of x.

Accepted Answer

4.9

Answer

0

Answer

48

Answer

24

Question 10

If AD=3, AB=8, find the value of CB.

Accepted Answer

6.3

Answer

40

Answer

80

Answer

20

Question 11

Find the value of x.

Accepted Answer

16

Answer

12

Answer

9

Answer

6

Question 12

Find the value of y, if you know the value of x=16

Accepted Answer

20

Answer

400

Answer

200

Answer

40

Question 13

Find the value of z, if you know the value of x=16.

Accepted Answer

15

Answer

30

Answer

112.5

Answer

225

Question 14

In the right triangle ABC below, CD is the altitude to the hypotenuse AB. If AC=28, and the ratio of AD to AB is 4:3, determine the value of x.

Accepted Answer

$$2\sqrt{7}$$

Answer

28

Answer

$$4\sqrt{7}$$

Answer

$$7\sqrt{2}$$

Question 15

In the right triangle ABC below, CD is the altitude to the hypotenuse AB. If AD=3, AB=12, what is the value of CB?

Accepted Answer

$$2\sqrt{30}$$

Answer

120

Answer

$$4\sqrt{15}$$

Answer

$$2\sqrt{10}$$

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