Practice B

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Practice B Similarity in Right Triangles

Write a similarity statement c o m p a r i n g the three triangles in e a c h diagram.

1.

M

K

2.

Find the geometric m e a n of e a c h pair of n u m b e r s . If n e c e s s a r y , give the a n s w e r in s i m p l e s t radical form.

4. - a n d 4 4

5. 3 and 75

7. - a n d 9 2

8. 10 and 14

6. 4 and 18 — 9. 4 and 12.25

Find X , y, and z.

16. The Coast Guard has sent a rescue helicopter to retrieve passengers off a disabled ship. The ship has called in its position as 1.7 miles from shore. When the helicopter passes over a buoy that is known to be 1.3 miles from shore, the angle formed by the shore, the helicopter, and the disabled ship is 90°. Determine what the altimeter would read to the nearest foot when the helicopter is directly above the buoy.

U s e the diagram to complete e a c h equation.

17. ^ = b

18.

d b+c

b

19.

c

a e

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