Free Printable UNIT 7: RIGHT TRIANGLE RELATIONSHIPS AND TRIGONOMETRY

1.

What is the formula for Pythagorean theorem?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

2.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

3.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

4.

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

a)

9

b)

40

c)

41

5.

What are the 2 shorter sides of a right triangle called?

a)

Hypotenuse

b)

Pythagorean Theorem

c)

Legs

d)

Right triangle

6.

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

a)

yes

b)

no

7.

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

a)

yes

b)

no

8.

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

9.

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

a)

Yes

b)

No

10.

Is this triangle a right triangle?

a)

yes

b)

no

11.

Find the measure of h.

a)

13

b)

20

c)

9.7

d)

10

12.

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

a)

yes

b)

no

13.

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

14.

What is the distance between the two points?

a)

12.64

b)

16.52

c)

12

d)

16

15.

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

a)

Yes

b)

No

16.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

17.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

18.

a)

11 in

b)

13 in

c)

9.2 in

d)

9.6 in

19.

If the legs of a right triangle are 10 and 24, then the hypotenuse is __________.

a)

21

b)

19

c)

26

d)

30

20.

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

a)

38, 80, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

21.

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

22.

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

a)

yes

b)

no

23.

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

a)

yes

b)

no

24.

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

a)

yes

b)

no

25.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

26.

A perfect square is when a whole number is multiplied by itself?

a)

FALSE

b)

TRUE

27.

What do we call √ ?

a)

radicand

b)

radical symbol

c)

cube root

d)

index

28.

What do we call the number under the √ sign ?

a)

radicand

b)

radical symbol

c)

cube root

d)

index

29.

65

a)

Is a perfect square.

b)

Is not a perfect square.

30.

All the following are Perfect Squares except for which one?

a)

81

b)

121

c)

361

d)

198

31.

Which statement is NOT true?

a)

√169 = 13

b)

15² = 225

c)

4² = √16

d)

√164 = 18

32.

√256

a)

14

b)

16

c)

13

d)

17

33.

Simplify.

a)

A

b)

B

c)

C

d)

D

34.

Simplify.

a)

A

b)

B

c)

C

d)

D

35.

Simplify:
√96

a)

4√6

b)

3√6

c)

6√5

d)

6√8

36.

Simplify:
√24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

37.

Simplify:
√40

a)

4√10

b)

10√4

c)

2√10

d)

10√2

38.

√108

a)

3√12

b)

4√27

c)

8√2

d)

6√3

39.

Simplify:

4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

40.

Simplify 2√12

a)

4√3

b)

2√3

c)

6√3

d)

8√3

41.

Simplify.

a)

A

b)

B

c)

C

d)

D

42.

Simplify.

a)

A

b)

B

c)

C

d)

D

43.

a)

a

b)

b

c)

c

d)

d

44.

Simplify the square root.

a)

A

b)

B

c)

C

d)

D

45.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

46.

Simplify √40

a)

4√10

b)

10√4

c)

2√10

d)

10√2

47.

a)

A

b)

B

c)

C

d)

D

48.

Simplify the radical - 3√44

a)

6√11

b)

11√6

c)

2√11

d)

8√3

49.

Simplify the radical - 3√27

a)

9

b)

9√3

c)

3√9

d)

3

50.

Simplify the radical - 10√20

a)

5√20

b)

20√5

c)

4√5

d)

40√5

51.

Read the question carefully and choose the correct answer.

a)

A

b)

B

c)

C

d)

D

52.

Simplify √50

a)

2√5

b)

25√2

c)

5√2

d)

10√2

53.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

54.

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

a)

8√2

b)

4√2

c)

4

d)

8

55.

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

a)

4√2

b)

4

c)

8

d)

4√3

56.

Find the value of y.

a)

11√2

b)

11

c)

22

d)

(11√2)/2

57.

What is the value of x?

a)

2

b)

18

c)

2√9

d)

9√2

58.

Find the missing side lengths.

a)

a = 4, b = 4

b)

a = 4, b = 2√2

c)

a = 2√2, b = 4

d)

a = 4, b = 4

59.

Use the 45-45-90 theorem to solve for the hypotenuse.

a)

16

b)

8

c)

8√2

d)

√16

60.

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

61.

Find the value of x.

a)

3 sqrt(2)

b)

3

c)

6 sqrt(2)

d)

6

62.

What is the value of x?

a)

12√2

b)

2√12

c)

24

d)

2

63.

Find a.

a)

5

b)

√2

c)

5√2

d)

2

64.

Find a.

a)

4

b)

2

c)

4√2

d)

2√4

65.

Find x.

a)

4√3

b)

4√6

c)

4

d)

4√8

66.

If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.

a)

7√2

b)

49√2

c)

7

d)

7√7

67.

Find a.

a)

2√6

b)

2√3

c)

3

d)

6

68.

Find y.

a)

11√2

b)

11

c)

22

d)

(11√2)/2

69.

Find x.

a)

2

b)

18

c)

2√9

d)

9√2

70.

Find the missing side lengths.

a)

a = 4, b = 4

b)

a = 4, b = 2√2

c)

a = 2√2, b = 4

d)

a = 4, b = 4

71.

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

a)

4

b)

u

c)

v

72.

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

a)

6

b)

m

c)

n

73.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

74.

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

75.

a)

x=10√3 y=30

b)

x=30√3 y=10

c)

x=10, y=30√3

d)

x=30 y=10√3

76.

a)

a=√6 b=√2

b)

a=4 b=2

c)

a=√6 b=2

d)

a=2 b4

77.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

78.

Find y.

a)

6

b)

24

c)

12√3

d)

6√3

79.

Find x.

a)

2√3

b)

3√3

c)

6√3

d)

12

80.

BONUS - Solve for x.
You will need to use 45-45-90 and 30-60-90 triangles.

a)

10√3

b)

15

c)

5√3

d)

15√2

81.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

82.

Find a.

a)

3

b)

3√3

c)

6

d)

2√3

83.

Find a.

a)

12

b)

24

c)

24√3

d)

16

84.

Find a.

a)

2√3

b)

2

c)

12

d)

6

85.

Find a.

a)

9

b)

9√3

c)

9√2

d)

2√3

86.

Find x.

a)

9

b)

3√3

c)

6

d)

6√3

87.

Find x.

a)

10

b)

10√2

c)

5√3

d)

5/2

88.

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

89.

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

90.

Find y.

a)

10

b)

10√2

c)

5√3

d)

$5\sqrt{2}$

91.

Find a.

a)

9

b)

9√3

c)

9√2

92.

Find b.

a)

9

b)

9√3

c)

9√2

93.

Find the value of m and n.

a)

m = 24√3, n = 24

b)

m = 6√3, n = 6

c)

m = 24/√3, n = 24

94.

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

a)

4

b)

u

c)

v

95.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

96.

What is the length of the side opposite ∠X?

a)

16

b)

30

c)

34

97.

What is the length of the side opposite ∠Z?

a)

16

b)

30

c)

34

98.

What is the length of the side adjacent to ∠Z?

a)

16

b)

30

c)

34

99.

What is the length of the side adjacent to ∠A?

a)

30

b)

40

c)

50

100.

What is the length of the side opposite ∠A?

a)

30

b)

40

c)

50

101.

What is the length of the side adjacent to ∠C?

a)

30

b)

40

c)

50

102.

What is the length of the hypotenuse?

a)

30

b)

40

c)

50

103.

What is the length of the side adjacent to ∠X?

a)

7

b)

24

c)

25

104.

What is the length of the side opposite ∠Y?

a)

7

b)

24

c)

25

105.

How much wood could a woodchuck chuck, if a woodchuck could chuck wood?

a)

257 pounds

b)

325 pounds

c)

560 pounds

d)

700 pounds

106.

What is the acronym to help you remember the ratios to use in trigonometry?

a)

RIGHTANG

b)

SOHCAHTOA

c)

SHOCHATOA

107.

What can you find with trig ratios?

a)

Missing sides

b)

missing angles

c)

area of a triangle

d)

missing sides, angles and area of a triangle

108.

What type of triangles do you use the trig ratios with?

a)

any type

b)

right triangle

c)

obtuse triangle

d)

acute triangle

109.

What does SOH stand for

a)

hypotenuse over opposite

b)

adjacent over opposite
opposite over adjacent

c)

opposite over hypotenuse

d)

adjacent over adjacent

110.

a)

A

b)

B

c)

C

d)

D

111.

a)

A

b)

B

c)

C

d)

D

112.

a)

A

b)

B

c)

C

d)

D

113.

a)

A

b)

B

c)

C

d)

D

114.

a)

A

b)

B

c)

C

d)

D

115.

a)

A

b)

B

c)

C

d)

D

116.

Choose the correct ratio.

a)

sinZ=5/13

b)

sinX=5/13

c)

cosX=13/12

d)

tanZ=12/5

117.

The ratio in a right triangle of adjacent to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

hypotenuse

118.

What is the ratio for Sine?

a)

Hypotenuse/Opposite

b)

Opposite/Hypotenuse

c)

Opposite/Adjacent

d)

Adjacent/Opposite

119.

What is the ratio for Tangent

a)

Opposite/Adjacent

b)

Adjacent/Opposite

c)

Opposite/Hypotenuse

d)

Hypotenuse/Opposite

120.

What is the ratio for Cosine?

a)

Opposite/Hypotenuse

b)

Opposite/Adjacent

c)

Adjacent/Opposite

d)

Adjacent/Hypotenuse

121.

What type of triangle is the context of our study of trigonometry?

a)

right triangle

b)

isosceles triangle

c)

scalene triangle

d)

acute triangle

122.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

123.

The length across from the right angle in a triangle is called the ...........

a)

cosine

b)

tangent

c)

hypotenuse

d)

sine

124.

If you are given the length of a hypotenuse and the length of an adjacent side, what trigonometry ratio could you use .

a)

sine

b)

cosine

c)

tangent

d)

trigonometry

125.

The ratio of the length of the side opposite of the angle to the length of the hypotenuse is the _____________

a)

Sine

b)

Cosine

c)

Tangent

126.

What is the correct ratio set up for finding the tangent of Angle A? Remember: Tangent = opposite/adjacent

a)

20/12

b)

12/20

c)

12/16

d)

16/12

127.

What is the opposite side to <D?

a)

EF

b)

DF

c)

DE

128.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

129.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

130.

cos B = ? Remember: Cosine ratio is adjacent/hypotenuse

a)

12/13

b)

12/5

c)

5/13

d)

5/12

131.

What is the green side labelled as using the starred angle as a starting point?

a)

adjacent

b)

opposite

c)

hypotenuse

132.

What is the green side labelled as from the starred angle?

a)

adjacent

b)

opposite

c)

hypotenuse

133.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

134.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

135.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

136.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

137.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

138.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

139.

What is the correct ratio?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

140.

What is the correct ratio?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

141.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

142.

What is the correct equation to solve for x ?

a)

tan (58) = x/11

b)

tan (58) = 11/x

c)

cos (58) = x/11

d)

sin (58) = x/11

143.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

144.

Which is the correct applied ratio?

a)

A

b)

B

c)

C

d)

D

145.

Which is the correct applied ratio?

a)

A

b)

B

c)

C

d)

D

146.

Which is the correct applied ratio?

a)

A

b)

B

c)

C

d)

D

147.

Which is the correct applied ratio?

a)

A

b)

B

c)

C

d)

D

148.

Find the value of tan X.

a)

3/4

b)

4/3

c)

5/3

d)

3/5

149.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

150.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

49°

b)

57°

c)

45°

d)

54°

151.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

152.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

153.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

154.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

155.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

156.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

157.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

158.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

159.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

160.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

161.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

162.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

163.

What is the correct ratio?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

164.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

165.

What is the correct equation to solve for x ?

a)

tan (58) = x/11

b)

tan (58) = 11/x

c)

cos (58) = x/11

d)

sin (58) = x/11

166.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

167.

Solve for x.

a)

30°

b)

45°

c)

60°

d)

90°

168.

In ∆ABC, where ∠C is a right angle,

cos A= √21 ⁄ 5 . What is sin B?

a)

√21 ⁄ 5

b)

√21 ⁄ 2

c)

2 ⁄ 5

d)

5 ⁄ √21

169.

In ∆ABC, the complement of ∠B is ∠A. Which statement is always true?

a)

tan∠A = tan∠B

b)

sin∠A = sin∠B

c)

cos∠A = tan∠B

d)

sin∠A = cos∠B

170.

Which expression is always equivalent to sin x when 0°< x < 90°?

a)

cos(90°−x)

b)

cos(45°−x)

c)

cos(2x)

d)

cos x

171.

In right triangle ABC, m∠C =90°. If cos B= 5 ⁄ 13, which function also equals 5 ⁄ 13?

a)

tanA

b)

tanB

c)

sinA

d)

sinB

172.

In scalene triangle ABC shown in the diagram above, m∠C = 90°. Which equation is always true?

a)

sinA=sinB

b)

cosA=cosB

c)

cosA=sinC

d)

sinA =cosB

173.

If cos 32° = sinx, find the number of degrees in the measure of acute angle x.

a)

32

b)

78

c)

58

d)

68

174.

Find the value of R that will make the equation sin73°=cosR true when 0°<R<90°.

a)

27

b)

17

c)

45

d)

73

175.

Which value of x satisfies the equation sin(3x+5)°=cos(4x+1)°?

a)

30

b)

24

c)

12

d)

4

176.

If sin(2x+7)°=cos(4x−7)°, what is the value of x?

a)

7

b)

15

c)

21

d)

30

177.

In a right triangle,

sin(40−x)°=cos(3x)°.

What is the value of x?

a)

10

b)

15

c)

20

d)

25

178.

Right triangle ABC with right angle at C.

If sinA increases, does cosB increase or decrease?

a)

Increase

b)

Decrease

179.

In right triangle ABC with the right angle at C, sinA=2x+0.1 and cosB=4x−0.7. Find the value of x.

a)

0.4

b)

15.1

c)

30

d)

60

180.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

181.

What is the correct set up for the problem to find the measure of the indicated angle?

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

182.

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

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

183.

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

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

184.

What is the value of "x" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

185.

Which inverse trig function would you use to find the measure of Angle A?

a)

inverse sine

b)

inverse cosine

c)

inverse tangent

d)

It is not possible to determine m<A

186.

True or False. To find the missing side length in the diagram, use the Pythagorean Theorem.

a)

True

b)

False

187.

Which expression is correct for "y"?

a)

y = tan^–1(31/23)

b)

y = sin^–1(31/23)

c)

y = cos^–1(31/23)

188.

How would you find the value of the angle denoted by "?"

a)

Apply the inverse sine

b)

Apply the inverse cosine

c)

Apply the inverse tangent

d)

Apply the Pythagorean Theorem

189.

What is the most efficient way to find "x"?

a)

Inverse sine

b)

Inverse cosine

c)

Inverse tangent

d)

Pythagorean Theorem

190.

What is the cosine of θ?

a)

15/8

b)

15/17

c)

17/15

d)

8/15

191.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

192.

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

193.

Solve for the misssing distance

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

194.

Kevin leans a 16 foot ladder l against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

195.

Elizabeth is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63.6 ft

b)

1.59 ft

c)

74.2 ft

d)

86.9 ft

196.

Jordan is stuck at the top of a Ferris wheel. Her mother is standing 38 feet from the base of the wheel watching her. If the angle of elevation from Jordan's mom to Jordan is 73^o, how far off the ground is Jordan?

a)

118.2 ft

b)

120.9 ft

c)

124.3 ft

d)

126.5 ft

197.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

198.

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3^o. How tall is the enemy castle wall?

a)

78.6 meters

b)

1498.0 meters

c)

78.5 meters

d)

75.3 meters

199.

What type of triangle is this?

a)

right

b)

scalene

c)

equilateral

d)

isosceles

200.

Find the perimeter of this triangle.

a)

12 in

b)

22 in

c)

18 in

d)

24 in

201.

Find the area of this triangle.

a)

12 in²

b)

22 in²

c)

18 in²

d)

24 in²

202.

What type of triangle is this?

a)

right

b)

scalene

c)

equilateral

d)

isosceles

203.

Find the perimeter of this triangle.

a)

20 cm

b)

35 cm

c)

40 cm

d)

12.5 cm

204.

Find the area of this triangle.

a)

20 cm²

b)

35 cm²

c)

40 cm²

d)

12.5 cm²

205.

What type of triangle is this?

a)

right

b)

scalene

c)

equilateral

d)

isosceles

206.

Find the perimeter of this triangle.

a)

240 ft

b)

56 ft

c)

66 ft

d)

120 ft

207.

Find the area of this triangle.

a)

240 ft²

b)

56 ft²

c)

66 ft²

d)

120 ft²

208.

What type of triangle is this?

a)

right

b)

scalene

c)

equilateral

d)

isosceles

209.

Find the perimeter of this triangle.

a)

150 ft

b)

100 ft

c)

20 ft

d)

35 ft

210.

Find the area of this triangle.

a)

150 ft²

b)

100 ft²

c)

50 ft²

d)

35 ft²

211.

Find the area.

a)

46.2 ft²

b)

92.4 ft²

c)

23.1 ft²

212.

Find the area.

a)

25.9 yd²

b)

12.95 yd²

c)

6.475 yd²

d)

12.95 m²

213.

a)

19.8 km²

b)

37.8 km²

c)

18.9 km²

d)

35 km²

214.

Calculate the area of the triangle

a)

27.3 mi²

b)

54 mi²

c)

27 mi²

d)

54.6 mi²

215.

What is the perimeter of the shape?

a)

4 in.

b)

10 in.

c)

12 in.

d)

7.5 in.

216.

Find the perimeter of this triangle.

a)

20 cm

b)

21 cm

c)

40 cm

d)

12.5 cm

217.

Macy is making a triangular scarf for her dog. Using the triangle as a guide, how much fabric would she need to make the scarf.

a)

7.35 cm²

b)

14.7 cm²

c)

29.4 cm²

218.

Robert is making a triangular garden in his backyard. Using the diagram of the triangle how much mulch would he need to fill his garden?

a)

8.2 in²

b)

16.4 in²

c)

32.8 in²

d)

4.1 in²

219.

Maria wants to put trim around her artwork. Use the image to calculate how many inches of trim Maria would need.

a)

16 inches

b)

22 inches

c)

26 inches

d)

44 inches

220.

Jose lives next to a triangular park. He likes to take his dog for a walk around the park on the weekend. If he makes 3 trips around the park how far does he walk?

a)

17 units

b)

25 units

c)

51 units

d)

102 units

UNIT 7: RIGHT TRIANGLE RELATIONSHIPS AND TRIGONOMETRY

Total questions: 220

Worksheet time: 17hrs 27mins

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