Free Printable Triangle sides & Trig ratios

1.

What side is opposite $\angle W$ ?

a)

VW

b)

VX

c)

WX

2.

What is the length of the hypotenuse $\Delta WVX$ ?

a)

21

b)

28

c)

35

d)

49

3.

What the name of the hypotenuse?

a)

VW

b)

VX

c)

WX

4.

Name the side adjacent to $\angle S$ .

a)

UT

b)

SU

c)

ST

5.

What side is opposite to $\angle S$ ?

a)

UT

b)

SU

c)

ST

6.

Check all TRUE statements:

a)

$\overline{PQ}$ is opposite $\angle R$

b)

$\overline{QR}$ is the hypotenuse

c)

$\overline{RQ}$ is adjacent to $\angle R$

d)

$\overline{PR}$ is the hypotenuse

7.

Which statement is true:

a)

The length of the side adjacent to the angle M is 24

b)

The length of the side adjacent to the angle M is 32

c)

The length of the side adjacent to the angle M is 40

8.

Which statement is true:

a)

The length of the hypotenuse is 5

b)

The length of the hypotenuse is 12

c)

The length of the hypotenuse is 13

d)

The length of the hypotenuse is 17

9.

The side opposite $\angle L$ is:

a)

JK

b)

KL

c)

LJ

10.

Which statement is true in reference to $\angle I$ :

a)

opposite side = 27, adjacent side = 45, hypotenuse = 36

b)

opposite side = 45, adjacent side = 36, hypotenuse = 27

c)

opposite side = 36, adjacent side = 27, hypotenuse = 45

11.

$\angle E$ is the reference angle. Check all statements that are true:

a)

50 is the length of the opposite side of $\angle E$

b)

48 is the length of the adjacent side of $\angle E$

c)

50 is the length of the hypotenuse.

d)

14 is the adjacent side of $\angle E$ .

12.

Identify the side opposite $\angle C$ .

a)

$\angle B$

b)

20

c)

AB

d)

29

13.

Check all statements that are true. The hypotenuse can be represent by:

a)

29

b)

21

c)

20

d)

BC

14.

The length of the side adjacent to $\angle C$ is:

a)

BC = 29

b)

AC = 20

c)

AB = 21

15.

Which statements are true:

a)

The sum of the angles of $\Delta JKL=180\degree$

b)

The side opposite $\angle L$ is KJ which is 12

c)

The length of the hypotenuse is 13.

d)

The side adjacent toundefinedis KL which is 5.

16.

Which side is opposite angle A?

a)

a

b)

b

c)

c

d)

none, angle A is the right angle

17.

Which side is opposite angle B?

a)

a

b)

b

c)

c

d)

none, angle B is the right angle

18.

Which side is adjacent to angle A?

a)

a

b)

b

c)

c

d)

none, angle A is the right angle

19.

Which angle is adjacent to angle C?

a)

a

b)

b

c)

c

d)

none, angle C is the right angle

20.

What is the length of the side adjacent to angle B?

a)

5

b)

12

c)

13

d)

invalid question, angle B is the right angle

21.

What is the length of the side opposite angle A?

a)

3 in.

b)

4 in.

c)

5 in.

d)

invalid question - angle A is the right angle

22.

What is the length of the hypotenuse of the triangle shown?

a)

8

b)

15

c)

17

d)

invalid question - the triangle shown is not a right triangle

23.

What is the side labeled x relative to the given acute angle?

a)

opposite

b)

adjacent

c)

hypotenuse

d)

not enough information given

24.

What is the side labeled x relative to the given acute angle?

a)

opposite

b)

adjacent

c)

hypotenuse

d)

not enough information given

25.

What is the side labeled x relative to the given acute angle?

a)

opposite

b)

adjacent

c)

hypotenuse

d)

not enough information given

26.

What is the side labeled x relative to the given acute angle?

a)

opposite

b)

adjacent

c)

hypotenuse

d)

not enough information given

27.

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

a)

RIGHTANG

b)

SOHCAHTOA

c)

SHOCHATOA

28.

What leg is considered the hypotenuse?

a)

Any side

b)

the side opposite the smallest angle

c)

the side opposite the right angle

d)

the side opposite the shortest leg

29.

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

a)

any type

b)

right triangle

c)

obtuse triangle

d)

acute triangle

30.

Which is the correct ratio for the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

31.

Which is the correct ratio for the cosine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

32.

Which is the correct ratio for the tangent ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

33.

What is $\cos A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

34.

What is $\tan A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

35.

What is $\tan\ C$ ?

a)

$\frac{20}{21}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

36.

cos______ = $\frac{40}{50}$

a)

A

b)

B

c)

C

37.

tan_____ = $\frac{30}{16}$

a)

X

b)

Y

c)

Z

38.

sin _____ = $\frac{16}{34}$

a)

X

b)

Y

c)

Z

39.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

40.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

41.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

42.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

43.

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

a)

sine

b)

cosine

c)

tangent

44.

Choose the correct ratio.

a)

A

b)

B

c)

C

d)

D

45.

Which trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

46.

Which trig function would you use to solve for x?

a)

$\sin40=\frac{x}{19}$

b)

$\cos40=\frac{x}{19}$

c)

$\tan40=\frac{x}{19}$

47.

Which trig function would you use to solve for x?

a)

$\sin37=\frac{11}{x}$

b)

$\cos37=\frac{11}{x}$

c)

$\tan37=\frac{11}{x}$

48.

Select the correct ratio for SinA

a)

$\frac{37}{35}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{12}{37}$

49.

Find the value of each trigonometric ratio.

a)

$\frac{5}{4}$

b)

$\frac{4}{3}$

c)

$\frac{4}{5}$

d)

$\frac{5}{3}$

50.

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

a)

sine

b)

cosine

c)

tangent

Triangle sides & Trig ratios

Total questions: 50

Worksheet time: 1hrs 5mins

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