Free Printable Right Triangles (Geometry Preview)

1.

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

2.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

3.

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.

4.

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

a)

4√2

b)

4

c)

8

d)

4√3

5.

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

6.

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

a)

8√2

b)

4√2

c)

4

d)

8

7.

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

a)

4

b)

u

c)

v

8.

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

a)

6

b)

m

c)

n

9.

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

10.

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

11.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

12.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

13.

Find x.

a)

30°

b)

60°

c)

90°

d)

180°

14.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

15.

Find x.

a)

4

b)

2

c)

√3

d)

2√2

16.

Find x.

a)

10

b)

20

c)

10√3

d)

√3

17.

Find x.

a)

12

b)

√2

c)

√3

d)

6

18.

What is the measure of side c?

a)

7

b)

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

c)

7√2

d)

14

19.

What is the measure of side c?

a)

6

b)

6√2

c)

6√3

d)

12

20.

What is the measure of side b?

a)

5

b)

10√2

c)

5√2

d)

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

21.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a² + b² = c²

c)

a² + b² + c²

d)

A = LW

22.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

23.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

24.

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

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

25.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

26.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

27.

Do the lengths form a right triangle? 6, 8, 10

a)

yes

b)

no

28.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

29.

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

a)

8√2

b)

4√2

c)

4

d)

8

30.

Classify the triangle as acute, obtuse, or right. 7, 15, 21

a)

Obtuse

b)

Right

c)

Acute

31.

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

a)

x = 6

b)

x = 3√2

c)

x = 3√3

d)

x = 3√3

32.

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

a)

a = 7√3

b)

a = 7√2

c)

a = 14

d)

a = 14√3

33.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

34.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

35.

Find a.

a)

12

b)

24

c)

24√3

d)

16

36.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

37.

What is the length of x in this picture?

a)

45

b)

5√2

c)

90

d)

5

38.

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

a)

4√2

b)

4

c)

8

d)

4√3

39.

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

a)

$y=6$

b)

$y=3\sqrt{2}$

c)

$y=3\sqrt{3}$

d)

$y=\frac{3}{\sqrt{3}}$

40.

What is the measure of side b?

a)

5

b)

10√2

c)

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

d)

10√3

41.

What is the rule for a 45-45-90 triangle?

a)

$x,\ x,\ x\sqrt{2}$

b)

$x,\ x\sqrt{3},\ 2x$

42.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

43.

Find x - the length of the hypotenuse of the triangle.

a)

5

b)

5√2

c)

10

d)

5√3

44.

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

a)

8√2

b)

4√2

c)

4

d)

8

45.

Find a.

a)

2

b)

4

c)

2/√2

d)

2√3

46.

What is the rule for a 3-60-90 triangle?

a)

$x,\ x,\ x\sqrt{2}$

b)

$x,\ x\sqrt{3},\ 2x$

47.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

48.

Find x.

a)

4

b)

2

c)

√3

d)

2√2

49.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

50.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

51.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

52.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

53.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

54.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

55.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

56.

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

57.

you ADD a² and b² then take the square root to find c on a right triangle.

a)

true

b)

false

58.

a)

The top of the ladder is 8.9 ft from the ground

b)

The top of the ladder is 9.2 ft from the ground

c)

The top of the ladder is 16.5 ft from the ground

d)

The top o the ladder is 14.4 ft from the ground

59.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

60.

_{^{Find the missing side}}

a)

√29.2

b)

√400

c)

√20

d)

√10

Right Triangles (Geometry Preview)

Total questions: 60

Worksheet time: 4hrs 58mins

Similar Resources on Wayground