Geometry
Name______________________________________
REVIEW 8.1-8.3
DO NOT GIVE ANY DECIMAL ANSWERS. SIMPLIFY ALL RADICALS.
C
For numbers 1 – 5, use the triangle to the right. BD is an altitude.
D
1. At what letter will Parachute Pete begin parachuting?
B
A
AD BD
2. Complete the proportion:

BD
?
3. If CD = 9, and CB = 15, find AC.
4. If CD = 5 and AC = 15, find BD.
5. If AD = 7 and AC = 15, find AB.
For numbers 6 and 7, solve for x.
6.
7.
7
12
x
3
x
18
8. A rope from the top of a mast on a sailboat is attached to a point 2 meters away from the base of the mast. If the rope is 8 meters
long, how high is the mast? Draw a picture.
For numbers 9 – 11, determine if the 3 given side lengths make up a triangle. If so, classify it as acute, right, or obtuse.
9. 7, 24, 25
10. 5, 11, 6
11. 2, 10, 11
For numbers 12 – 15, use the ratios of the special right triangles to find the missing sides.
12.
13.
a
9
d
12
45
30
b
c
14.
15.
10
e
g
8
45
f
60
h
For numbers 16 and 17, sketch the figure described and find the requested information.
16. A square has a diagonal with 16 cm long that forms 45 angles with the sides. What is the perimeter of the square?
17. The side length of an equilateral triangle is 3 inches. Find the length of the altitude.
18. Find the geometric mean of 5 and 18.