1. Triangle ABC is an equilateral triangle with
2. Solve for x.
side lengths of 10 and altitude BD. Find
the altitude.
B
16
12
x
10
A
20
C
D
3. Solve for m.
4. Solve for x.
3
6
x
7
m
9
5. Use the given sides to classify the triangle as
right, acute, or obtuse.
6. Solve for x.
13 , 7, 6

C

7. Find the area of the sector.
50
9. Simplify the radical.
1
2
x + 12
3
x+3



8. Solve the equation. 3x 2  14x  8
6 cm
24  2 54  3 18
1
10. Simplify the radical.
4
7

11. The perimeter of a rhombus is 56. If one
diagonal is 24, find the length of the other
diagonal.
12. Find the length of AB .
8i n
A
110
B
ABC .
13. Find the perimeter of
14. Find the altitude of an isosceles trapezoid
with side lengths 10, 12, 10, and 22.
y
C (2, 7)
A (-2, 1)
B (5, 1)
x
15. Solve for x and y.
16. The angle of elevation from the snack stand to
the top of a waterslide is about 13°. The distance
from where you exit the water to the snack stand
is 58.2 meters. Find the height of the waterslide,
round to the nearest tenth.
x
2 3
30
60
y
17. A garage is 8 feet above the level street. The
driveway from the street to the garage is 45 feet
long. Find the driveway’s angle of incline. Round
to the nearest whole number. Show all work for
credit.
18. Find the length of x and y.
6 3
x
y
19. A pyramid is formed by assembling four
equilateral triangles and a square having sides 8
cm long. Find the altitude and the slant height.
20. Find the length of AD
A
B
G
8 in
F
C
10 in
E
21. Find the

sin 
and the
10
6
tan 
12 in
D