Free Printable REVIEW Special Triangles and Trig

1.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

2.

Simplify: $\sqrt[]{50}$

a)

$5\sqrt[]{2}$

b)

$5\sqrt[]{10}$

c)

$10\sqrt[]{5}$

d)

$2\sqrt[]{25}$

3.

Simplify

$\sqrt{24}$

a)

$4\sqrt{6}$

b)

$2\sqrt{6}$

c)

$6\sqrt{2}$

d)

$6\sqrt{4}$

4.

$\sqrt{45}$ =

a)

$3\sqrt{5}$

b)

$5\sqrt{3}$

c)

$9\sqrt{5}$

d)

$5\sqrt{9}$

5.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

6.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

7.

What is the measure of side c?

a)

7

b)

$\frac{7}{\sqrt{2}}$

c)

7√2

d)

14

8.

What is the length of y in this 45-45-90 triangle?

a)

8√2

b)

4√2

c)

4

d)

8

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 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

11.

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

12.

Find the value of x.

a)

2

b)

$4\sqrt{3}$

c)

4

d)

$2\sqrt{3}$

13.

I have been given the long leg in this 30-60-90 triangle. How do I find the hypotenuse?

a)

Divide 8 by √3

b)

Divide 8 by 2

c)

Divide 8 by 2, then multiply that answer by √2

d)

Divide 8 by √3, then multiply that answer by 2

14.

Find the value of x.

a)

$6\sqrt{3}$

b)

9

c)

$3\sqrt{3}$

d)

6

15.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

16.

Find the value of x.

a)

2

b)

$4\sqrt{3}$

c)

4

d)

$2\sqrt{3}$

17.

Find a.

a)

9

b)

$9\sqrt{3}$

c)

$\frac{9}{2}$

d)

$6\sqrt{3}$

18.

What is b in this 30-60-90 triangle?

a)

b=3.5√3

b)

b = 3.5

c)

b = 7

d)

b = 7√3

19.

Determine the value of c.

a)

c = 6√3

b)

c = 12√3

c)

c = 18

d)

c = 18√2

20.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

21.

What is the length of y in this 45-45-90 triangle?

a)

8√2

b)

4√2

c)

4

d)

8

22.

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

23.

Find the value of x.

a)

9

b)

2√3

c)

1

d)

3

24.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

25.

Find the missing side length. Leave your answer in simplified radical form.

a)

$v=2\sqrt{2}$

b)

$v=2$

c)

$v=4$

d)

$\sqrt{2}$

26.

Find the value of x.

a)

2

b)

$4\sqrt{3}$

c)

4

d)

$2\sqrt{3}$

27.

Find a.

a)

2√3

b)

2

c)

12

d)

6

28.

What is the value of x?

a)

12√2

b)

2√12

c)

24

d)

2

29.

Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)

a)

4

b)

u

c)

v

30.

Which side is the short leg of this 30-60-90 triangle?

a)

6

b)

m

c)

n

31.

Find a.

a)

9

b)

$9\sqrt{3}$

c)

$\frac{9}{2}$

d)

$6\sqrt{3}$

32.

The Pythagorean Theorem ONLY works on which triangle?

a)

Obtuse

b)

Right

c)

Acute

d)

Isosceles

33.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

34.

What is the side of a right triangle across from the right angle called?

a)

Square

b)

Arm

c)

Leg

d)

Hypotenuse

35.

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)

Not enough information

36.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

37.

Side c on a right triangle is ALWAYS the longest.

a)

True

b)

False

38.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

39.

Is this a right triangle

a)

Yes

b)

No

40.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

$17^2+8^2=b^2$

b)

$8^2+b^2=17^2$

c)

$17^2+b^2=8^2$

d)

$\frac{8^2}{b^2}=\frac{17^2}{100}$

41.

What is the opposite of squaring a number

a)

divide

b)

multiply

c)

square root

d)

fractions

42.

The Pythagorean is used to find what

a)

missing sides only

b)

missing angles only

c)

either missing sides or angles

43.

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

44.

Which of these is NOT the Side of a triangle?

a)

Hypotenuse

b)

Opposite

c)

Adjacent

d)

Cosine

45.

Sin(C)= Opposite/

a)

Adjacent

b)

Opposite

c)

Hypotenuse

d)

Obtuse

46.

Cos(C)= ?/Hypotenuse

a)

Opposite

b)

Adjacent

c)

Tangent

d)

Right

47.

The acronym to remember trig is:

a)

Soh Cah Toa

b)

Toa, Cah, Soh

c)

Soh, Toa, Cah

d)

Trigonometry

48.

Side C is the

a)

Hypotenuse

b)

Adjacent

c)

Opposite

d)

None of the Above

49.

Tan(30/40)=

a)

3/5

b)

4/10

c)

3/4

d)

3/10

50.

Sin(25/5)=

a)

5

b)

10

c)

15

d)

20

51.

Solve for A: tan(A)=5/6

a)

37.8

b)

42.9

c)

57.6

d)

39.8

52.

Solve for X

a)

6.2

b)

6.5

c)

7.3

d)

2,6

53.

Find m<C

a)

19.9

b)

42.6

c)

38.7

d)

50.5

54.

Find AB

a)

7.1

b)

6.0

c)

8.8

d)

11.5

55.

AB= _____

AC=______

m<A=____

a)

m<A=45

AB=14

AC=19.8

b)

m<A=45

AB=14

AC=22

c)

m<A=45

AB=118

AC=56

d)

m<A=45

AB=19

AC=23

56.

Find the value of each trigonometric ratio to the nearest ten-thousandth. sin 38 degrees

a)

.6157

b)

.2319

c)

.5000

d)

.3102

57.

Find the value of each trigonometric ratio to the nearest ten-thousandth

a)

.5000

b)

.3421

c)

.8000

d)

.7634

58.

Find the value of each trigonometric ratio.

a)

3/2

b)

4/5

c)

7/3

d)

1/2

59.

Find the missing side. Round to the nearest tenth.

a)

2.3

b)

7.5

c)

3.7

d)

5.1

60.

Find the missing side. Round to the nearest tenth.

a)

1.0

b)

3.6

c)

4.7

d)

11.5

61.

Find the missing side. Round to the nearest tenth.

a)

3.1

b)

5.4

c)

2.2

d)

9.5

62.

Find the missing side. Round to the nearest tenth.

a)

3.7

b)

7.7

c)

11.1

d)

3.2

63.

Find the missing side. Round to the nearest tenth.

a)

2.5

b)

7.9

c)

5.3

d)

20.5

64.

Find the missing side. Round to the nearest tenth.

a)

6.8

b)

12.7

c)

33.6

d)

5.8

e)

3.6

65.

Find the missing side. Round to the nearest tenth.

a)

45.6

b)

57.8

c)

61.6

d)

77.1

66.

Find the missing side. Round to the nearest tenth.

a)

3.6

b)

6.9

c)

2.4

d)

7.1

67.

Find the missing side. Round to the nearest tenth.

a)

3.7

b)

6.2

c)

11.9

d)

12.2

68.

Find the missing side. Round to the nearest tenth.

a)

6.0

b)

7.0

c)

3.2

d)

4.0

69.

Find the missing side. Round to the nearest tenth.

a)

21.0

b)

19.0

c)

33.7

d)

25.6

70.

Find the missing side. Round to the nearest tenth.

a)

4.3

b)

7.1

c)

5.0

d)

4.1

71.

Find the missing side. Round to the nearest tenth.

a)

33.4

b)

69.1

c)

68.9

d)

71.8

72.

Find the missing side. Round to the nearest tenth.

a)

11.3

b)

10.0

c)

12.9

d)

33.1

73.

Find the missing side. Round to the nearest tenth.

a)

9.0

b)

10.8

c)

11.6

d)

12.7

74.

Find the missing side. Round to the nearest tenth.

a)

15.0

b)

23.7

c)

15.9

d)

4.2

75.

Find the missing side. Round to the nearest tenth.

a)

50.7

b)

56.6

c)

35.9

d)

23.5

76.

Find the missing side. Round to the nearest tenth.

a)

3.6

b)

25.8

c)

61.5

d)

57.5

77.

What if the value of x?

a)

16

b)

12

c)

4

d)

64

78.

What is the value of f?

a)

20

b)

15

c)

25

d)

50

79.

Find the value of x.

a)

15√5

b)

5√5

c)

5√3

d)

3√5

80.

Find the value of y.

a)

4

b)

2√6

c)

6√2

d)

12

REVIEW Special Triangles and Trig

Total questions: 80

Worksheet time: 2hrs 44mins

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