Free Printable right triangle trig

1.

^{Which side is the hypotenuse?}

a)

b

b)

15

c)

25

d)

20

2.

Which equation can be used to solve for "x"?

a)

15² + x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² + x² = 15²

3.

Which equation can be used to solve for x?

a)

x² - 14² = 20²

b)

14² + 20² = x²

c)

x^{2 +} 20² = 14²

d)

x² + 14² = 20²

4.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

5.

_{^{Find the missing side}}

a)

9

b)

26.9

c)

37

d)

18.2

6.

^{Find the missing side}

a)

11

b)

61

c)

$7.8$

d)

$3.3$

7.

Solve for y

a)

13

b)

5

c)

23

d)

10

8.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

9.

What side(s) will always be the longest on a right triangle?

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

10.

What is the relationship between the sides in the Pythagorean Theorem shown?

a)

a + b = c

b)

a² + b² = c²

c)

a² – b² = c²

d)

a – b = c

11.

Does a triangle with side lengths of 6, 12, and 13 form a right triangle?

a)

Yes

b)

No

12.

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

a)

9

b)

40

c)

41

13.

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

a)

Yes

b)

No

14.

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

a)

yes

b)

no

15.

Which equation will help you find the missing side?

a)

$4^2+10^2=c^2$

b)

$10^2-4^2=c^2$

c)

$c^2=100+10^2$

d)

$c^2+4^2=10^2$

16.

A rectangular pool at Andy's gym measures 25 m by 50 m. How far would Andy swim if he swims across the pool diagonally?

a)

5 m

b)

8.7 m

c)

43.3 m

d)

55.9 m

17.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

18.

Find the value of x.

19.

Find the length of the missing side.

20.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

a)

9ft

b)

11ft

c)

6ft

d)

14ft

21.

If the hypotenuse of a right triangle is 50 and the leg is 14, what is the length of the other leg?

a)

48

b)

46

c)

45

d)

42

22.

Will the sides 36, 85 and 77 make a right triangle?

a)

yes

b)

no

23.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

24.

Level 3

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

25.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

26.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

27.

_{^{Find the missing side}}

a)

9

b)

26.9

c)

37

d)

18.2

28.

_{^{Find the missing side}}

a)

37

b)

17.66

c)

6

d)

312

29.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

30.

A 13 ft ladder touches a wall 12 feet above the ground. What is the distance from the wall to the base of the ladder?

a)

5

b)

√169

c)

√12

d)

6

31.

The dimensions of a flatscreen television are 15 in and 20 in. What is the length of the diagonal across the TV?

a)

√144in

b)

√125 in

c)

25in

d)

35in

32.

What is the distance between the sailboat and the top of the lighthouse? (Round to the nearest tenth).

a)

205m

b)

181.7

c)

33025m

d)

5m

33.

What is the distance from the tee box to the hole?

a)

275 yd

b)

75625 yd

c)

385yd

d)

√385 yd

34.

What is the distance between the person and the top of the tree?

a)

1000ft

b)

100ft

c)

42.7ft

d)

31.6ft

35.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

36.

Betsy has raised a flag on a 91-foot-high flag pole. The flag pole is supported by 5 wires, each of which is attached to the flag pole at a place that is 19 feet from the top of the pole and attached to the ground at a place that is 54 feet from the base of the pole. Find the total length of all 5 wires.

a)

450 feet

b)

225 feet

c)

338 feet

d)

90 feet

37.

Study the figure below, which illustrates a dilemma facing the Gainesville City Council. They are going to build a footbridge connecting City Hall to the Municipal Outhouse, because a number of citizens have perished while crossing Big Swamp. The distance from the Court House directly south to City Hall is 1440 feet, and the distance from the Court House directly west to the Municipal Outhouse is 1512 feet. Find the cost of the footbridge, assuming that such a structure costs $21 per foot.

a)

$43,848

b)

$54,810

c)

$61,992

d)

$65,772

38.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

39.

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

a)

44.1 km

b)

59 km

c)

47.8 km

d)

33 km

40.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

a)

14

b)

10

c)

5.3

d)

2

41.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

a)

7.5 in

b)

12.4 in

c)

13.6 in

d)

14.3 in

42.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

43.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

44.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

45.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

46.

What is the correct ratio?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

47.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

48.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

49.

What is adjacent to A?

a)

a

b)

b

c)

c

50.

What is opposite to A?

a)

a

b)

b

c)

c

51.

What is cos(B)?

a)

a/c

b)

b/c

c)

a/b

d)

b/a

52.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

53.

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

a)

sine

b)

cosine

c)

tangent

54.

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

a)

sine

b)

cosine

c)

tangent

55.

a)

A

b)

B

c)

C

d)

D

56.

a)

A

b)

B

c)

C

d)

D

57.

a)

A

b)

B

c)

C

d)

D

58.

Give the Ratio for SIN X

a)

opp/adj

b)

Adj/hyp

c)

Opp/hyp

d)

adj/opp

59.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

60.

Give the Ratio for TAN X

a)

Adj/Opp

b)

Opp/Adj

c)

Adj/Hyp

d)

Opp/Hyp

61.

Which side is adjacent to angle x?

(a)

62.

Which side is opposite angle x?

a)

1

b)

2

c)

3

63.

Which side is the hypotenuse?

a)

1

b)

2

c)

3

64.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

8.3 cm

b)

16.7 cm

c)

11.8 cm

d)

8.4 cm

65.

What is the length of the side opposite ∠X?

a)

16

b)

30

c)

34

66.

What is the length of the side opposite ∠Z?

a)

16

b)

30

c)

34

67.

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

a)

30

b)

40

c)

50

68.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

69.

Solve for x.

a)

12.1

b)

7.2

c)

6.0

d)

8.9

70.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

71.

Find the measurement of the missing side indicated

a)

4.39

b)

3.21

c)

2.19

d)

2.05

72.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

73.

Find the measurement of the missing side indicated

a)

4.39

b)

3.21

c)

2.19

d)

2.05

74.

Use trig ratios (SOH CAH TOA) to solve for x

a)

5.0

b)

6.1

c)

7.7

d)

6.4

75.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

76.

Use trig ratios (SOH CAH TOA) to solve for x

a)

50.7

b)

50.1

c)

60.7

d)

61.0

77.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

78.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

79.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

8.7 cm

b)

10.2 cm

c)

12.3 cm

d)

8.6 cm

80.

Find the indicated value.

a)

$\frac{5}{4}$

b)

$\frac{3}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{5}$

81.

Find the indicated value.

a)

$\frac{8}{17}$

b)

$\frac{15}{17}$

c)

$\frac{8}{15}$

d)

$\frac{15}{8}$

82.

Find the indicated value.

a)

$\frac{8}{17}$

b)

$\frac{15}{17}$

c)

$\frac{8}{15}$

d)

$\frac{15}{8}$

83.

Find the indicated value.

a)

$\frac{8}{17}$

b)

$\frac{15}{17}$

c)

$\frac{8}{15}$

d)

$\frac{15}{8}$

84.

Find the indicated value.

a)

$\frac{12}{13}$

b)

$\frac{5}{13}$

c)

$\frac{5}{12}$

d)

$\frac{12}{5}$

85.

Find the indicated value.

a)

$\frac{35}{37}$

b)

$\frac{12}{37}$

c)

$\frac{37}{12}$

d)

$\frac{12}{35}$

86.

Find the measure of angle A.

a)

$68^{\degree}$

b)

$22^{\degree}$

c)

$43^{\degree}$

d)

$47^{\degree}$

87.

Find the measure of angle A.

a)

$36^{\degree}$

b)

$39^{\degree}$

c)

$51^{\degree}$

d)

$54^{\degree}$

88.

Find the measure of angle A.

a)

$69^{\degree}$

b)

$23^{\degree}$

c)

$67^{\degree}$

d)

$75^{\degree}$

89.

Find the measure of angle A.

a)

$45^{\degree}$

b)

$10^{\degree}$

c)

$35^{\degree}$

d)

$55^{\degree}$

90.

Find the measure of angle A.

a)

$18^{\degree}$

b)

$44^{\degree}$

c)

$46^{\degree}$

d)

$72^{\degree}$

91.

Find the measure of angle C.

a)

$51^{\degree}$

b)

$32^{\degree}$

c)

$49^{\degree}$

d)

$58^{\degree}$

92.

Find the measure of angle C.

a)

$75^{\degree}$

b)

$15^{\degree}$

c)

$16^{\degree}$

d)

$74^{\degree}$

93.

Find the measure of angle B.

a)

$22^{\degree}$

b)

$39^{\degree}$

c)

$66^{\degree}$

d)

$68^{\degree}$

94.

Find the measure of angle B.

a)

$42^{\degree}$

b)

$34^{\degree}$

c)

$56^{\degree}$

d)

$67^{\degree}$

95.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

96.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

97.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

98.

Choose the correct ratio.

a)

sin^-1(12/29)

b)

cos^-1(12/29)

c)

tan^-1(12/29)

d)

tan^-1(29/12)

99.

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

a)

33°

b)

49°

c)

39°

d)

41°

100.

Solve for the missing angle

a)

50.2

b)

93.1

c)

12.6

d)

42.2

101.

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

a)

30.8

b)

32.1

c)

34.3

d)

36.9

right triangle trig - sides and angles

Total questions: 101

Worksheet time: 9hrs 25mins

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