Free Printable G-THURSDAY'S WORK 1-22-26

1.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

2.

Solve for the missing angle

a)

50.2

b)

93.1

c)

12.6

d)

42.2

3.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

4.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

5.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

6.

Find the measure of the missing angle.

a)

70.8

b)

19.2

c)

43.4

d)

26.2

7.

Identify the trig ratio that may be used to find the marked unknown angle.

a)

$Sin\ y\degree=\frac{12}{18}$

b)

$Cos\ y\degree\ =\ \frac{18}{12}$

c)

$Cos\ y\degree\ =\ \frac{12}{18}$

d)

$Tan\ y\degree=\ \frac{12}{18}$

8.

Find the measure of angle B.

a)

24

b)

90

c)

66

d)

42

9.

Find the measure of angle A.

a)

24

b)

90

c)

66

d)

42

10.

Find the m∠ B

a)

m∠ B = 23°

b)

m∠ B = 26°

c)

m∠ B = 12°

d)

m∠ B = 32°

11.

Find the measure of the angle. Round to the nearest tenth.

a)

40.4

b)

43.4

c)

48.2

d)

41.3

12.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

13.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

14.

Choose the correct ratio.

a)

sin^-1(12/29)

b)

cos^-1(12/29)

c)

tan^-1(12/29)

d)

tan^-1(29/12)

15.

Solve for the missing angle

a)

50.2

b)

93.1

c)

12.6

d)

42.2

16.

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

17.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

18.

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.

19.

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

a)

4√2

b)

4

c)

8

d)

4√3

20.

I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?

a)

Multiply by √2

b)

Divide by √2

c)

It's the same length as the hypotenuse.

d)

Divide by 2

21.

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

a)

8√2

b)

4√2

c)

4

d)

8

22.

Which side is the long leg in this 30-60-90 triangle?

a)

4

b)

u

c)

v

23.

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

a)

6

b)

m

c)

n

24.

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

25.

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

26.

What type of special right triangle is this?

a)

Isoceles right

b)

30-60-90

c)

not a special right triangle

27.

What type of special right triangle is this?

a)

Isoceles right

b)

30-60-90

c)

not a special right triangle

28.

What type of special right triangle is this?

a)

45-45-90

b)

30-60-90

c)

not a special right triangle

29.

What type of special right triangle is this?

a)

45-45-90

b)

30-60-90

c)

not a special right triangle

30.

a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?

a)

yes

b)

no

31.

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

a)

yes

b)

no

32.

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

a)

Yes

b)

No

33.

Which set of side lengths does not form a right triangle?

a)

16, 63, 65

b)

36, 77, 85

c)

14, 15, 29

34.

Which set of side lengths form a right triangle?

a)

3, 4, 7

b)

33, 56, 65

c)

66, 72, 97

d)

10, 15, 25

35.

Do these 3 side lengths form a right triangle?
13, 80, and 81?

a)

yes

b)

no

36.

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

a)

9

b)

40

c)

41

37.

Is this triangle a right triangle?

a)

yes

b)

no

38.

Can side lengths 3, 4, and 5 form a right triangle?

a)

yes

b)

no

39.

Can side lengths 6, 8, and 10 form a right triangle?

a)

yes

b)

no

40.

Do the sides 15, 30 and 34 make a right triangle?

a)

yes

b)

no

41.

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

a)

yes

b)

no

42.

Which set of side lengths form a right triangle?

a)

4, 8, 12

b)

12, 13, 20

c)

20, 21, 29

d)

48, 55, 74

43.

Which set of side lengths form a right triangle?

a)

3, 4, 7

b)

33, 56, 65

c)

66, 72, 97

d)

10, 15, 25

44.

Do the segment lengths 9, 12, and 16 form a right triangle?

a)

Yes

b)

No

45.

Is 10, 24, and 13 a Pythagorean triple?

a)

yes

b)

no

c)

cannot tell

46.

Does the set of numbers represent a Pythagorean Triple.
4, 5, 6

a)

Yes

b)

No

47.

Does the set of numbers represent a Pythagorean Triple.
10, 24, 26

a)

Yes

b)

No

48.

Does the set of numbers represent a Pythagorean Triple.
15, 20, 25

a)

Yes

b)

No

49.

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

a)

Yes

b)

No

50.

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

a)

Yes

b)

No

51.

Isabella has sticks that are 10cm, 11cm, and 13cm long. Can she place the sticks together to form a right triangle? Justify your answer.

a)

No, because 10+11 does not equal 13

b)

No, because 100+121 does not equal 169

c)

Yes, because there is a small side, medium side and long side

d)

Yes, because a triangle has 3 sides

52.

Which is the Pythagorean theorem?

a)

√(x-x)²-(y-y)²

b)

(y-y)/(x-x)

c)

a²+b²=c²

d)

a + b = c

53.

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

54.

What type of triangle will these side lengths form?

13, 12, 15

a)

Right

b)

Acute

c)

Obtuse

55.

What type of triangle will these side lengths form?

9, 12, 15

a)

Right

b)

Acute

c)

Obtuse

56.

What type of triangle will these side lengths form?

9, 10, 15

a)

Right

b)

Acute

c)

Obtuse

57.

What type of triangle will these side lengths form?

7, 8, 10

a)

Right

b)

Acute

c)

Obtuse

58.

What type of triangle will these side lengths form?

5, 12, 13

a)

Right

b)

Acute

c)

Obtuse

59.

What type of triangle will these side lengths form?

9, 11, 15

a)

Right

b)

Acute

c)

Obtuse

60.

State if the triangle is acute, obtuse, or right.

a)

acute

b)

obtuse

c)

right

61.

State if the triangle is acute, obtuse, or right.

a)

acute

b)

obtuse

c)

right

62.

State if the three sides lengths form an acute, obtuse, or right triangle:
4.8 km, 28.6 km. 29 km

a)

acute

b)

obtuse

c)

right

63.

Acute, right, or obtuse?

a)

Acute

b)

Right

c)

Obtuse

d)

I don't know

64.

State if the three sides lengths form an acute, obtuse, or right triangle:
6 mi, 17 mi, 2√55 mi

a)

acute

b)

obtuse

c)

right

65.

State if the three sides lengths form an acute, obtuse, or right triangle:
4.8 km, 28.6 km. 29 km

a)

acute

b)

obtuse

c)

right

66.

Determine what type (if any) of a triangle would have the following side lengths:

4, 6, 7

a)

acute

b)

obtuse

c)

right

d)

not a triangle

67.

Determine what type (if any) of a triangle would have the following side lengths:

21, 36, 39

a)

acute

b)

obtuse

c)

right

d)

not a triangle

68.

Determine what type (if any) of a triangle would have the following side lengths:

4, 6, 8

a)

acute

b)

obtuse

c)

right

d)

not a triangle

69.

Determine what type (if any) of a triangle would have the following side lengths:

10, 18, 40

a)

acute

b)

obtuse

c)

right

d)

not a triangle

70.

Determine what type (if any) of a triangle would have the following side lengths:

10, 18, 21

a)

acute

b)

obtuse

c)

right

d)

not a triangle

71.

Determine what type (if any) of a triangle would have the following side lengths:

13.5, 18, 22.5

a)

acute

b)

obtuse

c)

right

d)

not a triangle

72.

Determine what type (if any) of a triangle would have the following side lengths:

24, 52, 57

a)

acute

b)

obtuse

c)

right

d)

not a triangle

73.

Determine what type (if any) of a triangle would have the following side lengths:

24, 52, 60

a)

acute

b)

obtuse

c)

right

d)

not a triangle

74.

Determine what type (if any) of a triangle would have the following side lengths:

24, 52, 76

a)

acute

b)

obtuse

c)

right

d)

not a triangle

75.

Which side is the hypotenuse?

a)

a

b)

b

c)

c

76.

Which side is opposite $\angle A$ ?

a)

a

b)

b

c)

c

77.

Which side is adjacent to $\angle A$ ?

a)

a

b)

b

c)

c

78.

Find the value of sin $\theta$ .

a)

$\frac{6}{10}$

b)

$\frac{4}{5}$

c)

$\frac{8}{10}$

d)

$\frac{3}{5}$

79.

The Pythagorean Theorem can be used to find

a)

missing side lengths in right triangles

b)

missing angles in right triangles

c)

both

80.

Find the value of the missing side of the triangle.

Hint: Pythagorean Theorem.

Make sure to draw/write down this triangle, you will continue to use it!

a)

$\sqrt{28}$

b)

$\sqrt{14}$

c)

$10$

d)

$100$

81.

Find the value of tan $\theta$ .

a)

$\frac{6}{8}$

b)

$\frac{8}{6}$

c)

$\frac{4}{5}$

d)

$\frac{4}{3}$

82.

Find the value of csc $\theta$ .

a)

$\frac{5}{4}$

b)

$\frac{5}{3}$

c)

$\frac{4}{3}$

d)

$\frac{3}{5}$

83.

Find the value of cos $\theta$ .

a)

$\frac{5}{13}$

b)

$\frac{5}{12}$

c)

$\frac{12}{13}$

d)

$\frac{13}{12}$

84.

Find the value of cot $\theta$ .

a)

$\frac{5}{\sqrt{144}}$

b)

$\frac{5}{13}$

c)

$\frac{13}{12}$

d)

$\frac{12}{5}$

85.

This is the challenge question! If the $\tan\theta=\frac{5}{12}$ then what is $\cos\theta$ ? (HINT: Draw and label a picture using tan.)

a)

$\frac{\sqrt{5}}{12}$

b)

$\frac{12}{13}$

c)

$\frac{5}{13}$

d)

$\frac{5\sqrt[]{13}}{13}$

86.

The correct ratio for

\sin\theta

a)

opposite/hypotenuse

b)

adjacent/hypotenuse

c)

opposite/adjacent

d)

hypotenuse/adjacent

e)

adjcent/hypotenuse

87.

The correct ratio for

\cot\theta

a)

opposite/hypotenuse

b)

adjacent/hypotenuse

c)

opposite/adjacent

d)

hypotenuse/adjacent

e)

adjacent/opposite

88.

$\cot\theta=$

a)

12/13

b)

12/5

c)

5/13

d)

5/12

89.

$\sec\theta=$

a)

17/8

b)

8/17

c)

15/17

d)

17/15

90.

What is the length of the missing side?

a)

1

b)

25

c)

5

d)

7

91.

What is sinθ?

a)

3/5

b)

4/5

c)

5/3

d)

5/4

92.

What is cosθ?

a)

3/5

b)

4/5

c)

5/3

d)

5/4

93.

What is tanθ?

a)

3/4

b)

4/3

c)

5/3

d)

5/4

94.

What is secθ?

a)

3/4

b)

4/3

c)

5/3

d)

5/4

95.

What is cscθ?

a)

3/4

b)

4/3

c)

5/3

d)

5/4

96.

What is cotθ?

a)

3/4

b)

4/3

c)

5/3

d)

5/4

97.

What is the length of the missing side?

a)

3

b)

3√(2)

c)

about 4ish

d)

6

98.

What is sinθ?

a)

√(2)/2

b)

√(2)

c)

1

99.

What is cosθ?

a)

√(2)/2

b)

√(2)

c)

1

100.

What is tanθ?

a)

√(2)/2

b)

√(2)

c)

1

101.

What is cscθ?

a)

√(2)/2

b)

√(2)

c)

1

102.

What is secθ?

a)

√(2)/2

b)

√(2)

c)

1

103.

What is cotθ?

a)

√(2)/2

b)

√(2)

c)

1

104.

*

a)

cos x

b)

csc x

c)

sec x

d)

cot x

105.

If sinθ = 1/2, what is cscθ?

a)

-1/2

b)

1/2

c)

2

d)

√3 /2

106.

Find sin A

a)

15/17

b)

8/17

c)

17/15

d)

15/8

107.

Find sin B

a)

15/17

b)

8/17

c)

17/15

d)

15/8

108.

Find cos B

a)

15/17

b)

8/17

c)

17/15

d)

15/8

109.

Find tan B

a)

15/17

b)

8/17

c)

8/15

d)

15/8

110.

Find csc A

a)

15/17

b)

8/17

c)

17/15

d)

15/8

111.

Find sec A

a)

15/17

b)

8/17

c)

17/15

d)

17/8

112.

Find cot A

a)

15/17

b)

8/15

c)

17/15

d)

15/8

113.

Find cos A

a)

15/17

b)

8/15

c)

8/17

d)

15/8

114.

Find cot B

a)

15/17

b)

8/15

c)

17/15

d)

15/8

115.

Find csc B

a)

15/17

b)

8/17

c)

17/15

d)

17/8

116.

Find sec B

a)

15/17

b)

8/17

c)

17/15

d)

17/8

117.

Find tan A

a)

15/17

b)

8/15

c)

17/15

d)

15/8

118.

a)

A

b)

B

c)

C

d)

D

119.

a)

A

b)

B

c)

C

d)

D

120.

a)

A

b)

B

c)

C

d)

D

121.

a)

A

b)

B

c)

C

d)

D

122.

a)

A

b)

B

c)

C

d)

D

123.

a)

A

b)

B

c)

C

d)

D

124.

a)

A

b)

B

c)

C

d)

D

125.

a)

a

b)

b

c)

c

d)

d

126.

a)

A

b)

B

c)

C

d)

D

127.

a)

a

b)

b

c)

c

d)

d

128.

The Pythagorean Theorem can be used to find

a)

missing side lengths in right triangles

b)

missing angles in right triangles

c)

both

129.

The correct ratio for

\sin\theta

a)

opposite/hypotenuse

b)

adjacent/hypotenuse

c)

opposite/adjacent

d)

hypotenuse/adjacent

e)

adjcent/hypotenuse

130.

The correct ratio for

\cot\theta

a)

opposite/hypotenuse

b)

adjacent/hypotenuse

c)

opposite/adjacent

d)

hypotenuse/adjacent

e)

adjacent/opposite

131.

$\tan\theta\ =$

a)

$\frac{3\sqrt{10}}{20}$

b)

$\frac{3\sqrt{10}}{10}$

c)

$\frac{2\sqrt{10}}{3}$

d)

$\frac{2\sqrt{10}}{7}$

132.

$\cos\theta=$

a)

$\sqrt{3}$

b)

$36\sqrt{3}$

c)

$\frac{1}{2}$

d)

2

133.

$\cot\theta=$

a)

12/13

b)

12/5

c)

5/13

d)

5/12

134.

$\sec\theta=$

a)

17/8

b)

8/17

c)

15/17

d)

17/15

135.

$\csc\theta=$

a)

4/5

b)

5/4

c)

5/3

d)

3/5

136.

Angle C is a right angle in triangle ABC. Find sinA if b = 21 and a = 7

a)

$\frac{\sqrt{10}}{10}$

b)

$\sqrt{10}$

c)

3

d)

$\frac{3\sqrt{10}}{10}$

137.

Angle C is a right angle in triangle ABC. Find cotA if b = 9 and c = 15

a)

4/3

b)

3/4

c)

1/3

d)

3

138.

Find cos $\theta$ if $\tan\theta=\frac{7}{24}$

a)

24/25

b)

25/24

c)

24/7

d)

7/25

139.

Find sec $\theta$ if $\cot\theta=\frac{9\sqrt{7}}{35}$

a)

16/9

b)

12/13

c)

9/16

d)

$\frac{5\sqrt{7}}{9}$

140.

Find cot $\theta$ if $\csc\theta=\frac{\sqrt{5}}{2}$

a)

1/2

b)

2

c)

$\sqrt{5}$

d)

$\frac{\sqrt{5}}{5}$

G-THURSDAY'S WORK 1-22-26

Total questions: 140

Worksheet time: 9hrs 2mins

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