Test #9 Review
Name: ___________________________
Period ______
Completely simplify the following radicals.
1.
144
2.
3.
48
4.
5 96
8
Multiply and completely simplify the following radicals.
5.
7.
6.
8 5
 15 
2
8.
3 3  2 15
( 3 8 ) . ( 5 6 )
Rationalize and completely simplify the following radicals.
9.
7
10.
6
11.
13
36
20
7
12. Use the Pythagorean theorem to find the figure that is a right triangle.
15
16
A. 18
C.
26
25
25
18
20
B.
D.
15
39
30
36
13. The sides of squares can be used to form triangles. The areas of the
squares that form right triangles have a special relationship.
Using the dimensions of the squares show below, determine which set of
squares will form a right triangle.
Page 1 of 3
25
A.
7
B. 2
18
3
15
18
16
C.
D.
14
8
17.5
12.5
14.
15. In the figure below, what is the length of AB?
13
C
A
5
8
B
Page 2 of 3
Determine if the following numbers form a triangle, determine if the triangle
is right, acute or obtuse.
16.
6, 8.5, 9
16. YES
NO (2 pts)
Right Acute Obtuse (4 pts)
17.
16, 30, 32
17. YES
NO (2 pts)
Right Acute Obtuse (4 pts)
18.
5, 12, 13
18. YES
NO (2 pts)
Right Acute Obtuse (4 pts)
19. How long is a string reaching from the top of a 17-ft pole to a
point on the ground that is 14 ft from the base of the pole?
A
B
13
31
C
D
______________
541
93
20. An equilateral triangle has side lengths of 12 cm.
What is the height, CD, of the triangle?
A
13.42 cm
B
10.39 cm
C
6.5 cm
D
7 cm
Page 3 of 3
______________