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WorksheetsRight Triangle
Total questions: 28
Worksheet time: 49mins
Name
Class
Date
1.
Find the length of side y.
a)
22.32 cm
b)
36.5 cm
c)
76.34 cm
d)
87.76 cm
2.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
3.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
4.
Solve for a and b in the special right triangle.
a)
a = 5, b = 5
b)
a = 10, b = 10√2
c)
a = 10√2, b = 10√2
d)
a = 5√2, b = 5√2
5.
Solve for x and y in the special right triangle.
a)
x = 7, y = 7√2
b)
x = 14 y = 7√2
c)
x = 14√2 y = 7√2
d)
x = 14 y = 14√2
6.
Solve for u and v in the special right triangle.
a)
v = 9√3, u = 6√3
b)
v = 6√3 u = 9√3
c)
v = 9, u = 6√3
d)
v = 3√6, u = 6√3
7.
Solve for x and y in the special right triangle.
a)
y = 4, x = 4√3
b)
y = 4√2, x = 4√2
c)
y = 4 x = 12
d)
y = 8/√3, x = 16/√3
8.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
9.
Solve for x. Round to the nearest tenth.
a)
44.0
b)
41.4
c)
1.2
d)
1.0
10.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
11.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
12.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
13.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
a)
7.5 ft
b)
15 ft
c)
26 ft
d)
30 ft
14.
A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?
a)
25 feet
b)
45 feet
c)
110 feet
d)
135 feet
15.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
16.
Find r and s.
a)
r = 9, s = 9√3
b)
r = 18, s = 9
c)
r = 9√3, s = 9
d)
r = 18, s = 9√3
17.
Find the area of this triangle. Round your answer to the nearest tenth.
a)
89.0 units squared
b)
89.6 units squared
c)
9.2 units squared
d)
13.1 units squared
18.
Which of the following is correct for finding the measure of angle Z?
a)
∠Z = tan-1 55/48
b)
∠Z = sin-1 48/55
c)
∠Z = cos-1 55/73
d)
∠Z = tan-1 48/73
19.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
20.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
21.
Find the length of the missing side
a)
48
b)
108
c)
83.6
d)
72
22.
Do the segment lengths 9, 12, and 15 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
23.
State if the triangle is acute, obtuse, or right.
a)
acute
b)
obtuse
c)
right
24.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know how to do this
25.
Find the value of the variable. Round to the nearest tenth if needed.
a)
1
b)
2
c)
3.5
d)
4.2
26.
Find the value of the variable. Round to the nearest tenth if needed.
a)
16
b)
7.3
c)
7
d)
5.3
27.
Find the value of the variable. Round to the nearest tenth if needed.
a)
4.8
b)
6.9
c)
1.3
d)
0.8
28.
Find the value of the variable. Round to the nearest tenth if needed.
a)
7.9
b)
11.6
c)
10.2
d)
13.7
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