WorksheetsTrigonometry & Right Triangles
Total questions: 25
Worksheet time: 35mins
Name
Class
Date
1.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
2.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
3.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
4.
Does the set of numbers represent a right triangle?
20, 25, 15
a)
Yes
b)
No
5.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
6.
Find the length of the missing side
a)
48
b)
108
c)
83.6
d)
72
7.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
8.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
9.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
10.
If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?
a)
6
b)
6.7
c)
3
d)
15.7
e)
None of them
11.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
12.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
13.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
14.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
15.
I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
16.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 1.5√3 y =1.5
c)
x = 3√3 y = 6
d)
x = √3 y = 2√3
17.
You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)
a)
32√3
b)
16√3
c)
32
d)
16√2
18.
A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.
a)
134.4
b)
67.2
c)
95√2
d)
(95√2)/2
19.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
20.
The ratio in a right triangle of adjacent to hypotenuse is _____
a)
sine
b)
cosine
c)
tangent
d)
inverse cosine
21.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
22.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
23.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
24.
Solve for x.
a)
10
b)
11.3
c)
12.0
d)
15.0
25.
Solve for x.
a)
30°
b)
45°
c)
60°
d)
90°
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