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WorksheetsSpecial Right Triangles and Trigonometry
Total questions: 20
Worksheet time: 38mins
Name
Class
Date
1.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
2.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Isosceles
d)
Obtuse
3.
Find x.
a)
30°
b)
60°
c)
90°
d)
180°
4.
Find x.
a)
10
b)
√3
c)
5
d)
10√3
5.
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
6.
I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by √3
7.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 6 y = 3√2
8.
Find x - the length of the hypotenuse of the triangle.
a)
5
b)
5√2
c)
10
d)
5√3
9.
In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?
a)
It is the same length as the given leg.
b)
Multiply that leg's length by √2.
c)
Multiply that leg's length by 2.
d)
Divide that leg's length by √2.
10.
I have been given the hypotenuse in this 30-60-90 triangle. How do I find the short leg?
a)
Multiply 6 by 2
b)
Multiply 6 by √3
c)
Divide 6 by 2
d)
Divide 6 by √3
11.
What is the sine of angle C?
a)
7/24
b)
7/25
c)
24/25
d)
25/24
12.
What is the cosine of θ?
a)
15/8
b)
15/17
c)
17/15
d)
8/15
13.
What is the tangent of angle C?
a)
7/25
b)
25/7
c)
7/24
d)
24/7
14.
If tanθ = 3/4, what is cosθ?
a)
3/5
b)
4/5
c)
4/3
d)
not enough information
15.
If the sinθ=7/12, what is cosθ?
a)
12√95/95
b)
12/95
c)
12/√95
d)
√95/12
16.
Find the length of side y.
a)
22.32 cm
b)
36.5 cm
c)
76.34 cm
d)
87.76 cm
17.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
18.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
19.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
20.
The ratio 11/7 is:
a)
sin α
b)
cos α
c)
tan α
d)
cot α
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