Y10 Triangle Starters

Pythagoras A | Pythagoras A AnswersPythagoras B | Pythagoras B AnswersPythagoras C | Pythagoras C AnswersPythagoras D | Pythagoras D AnswersTrigonometry E | Trigonometry E AnswersTrigonometry F | Trigonometry F AnswersTrigonometry G | Trigonometry G AnswersTrigonometry H | Trigonometry H AnswersTrigonometry I | Trigonometry J AnswersTrigonometry J | Trigonometry J AnswersTrigonometry K | Trigonometry K AnswersTrigonometry L | Trigonometry L AnswersTrigonometry M | Trigonometry M AnswersRevision A | Revision A AnswersRevision B | Revision B Answers

Pythagoras A Home

1)

2)

5)

6)

7)

8)

9)

10)

3)

4)

Calculate the following:

2.32 =

52 + 62 =

24.5

58

22 43

228

22 35

22 58

22 9.34.3

22 75.425.5

Pythagoras A Answers Home

1)

2)

5)

6)

7)

8)

9)

10)

3)

4)

Calculate the following:

2.32 =

52 + 62 =

24.5

58

22 43

228

22 35

22 58

22 9.34.3

22 75.425.5

Pythagoras B Home

1) 2)

3) 4)

Calculate the unknown side lengths:

6.4m

5m ?

15mm

8mm ?

23cm 17cm

? 12m

13m ?

Pythagoras B Answers Home

1) 2)

3) 4)

Calculate the unknown side lengths:

6.4m

5m ?

15mm

8mm ?

23cm 17cm

? 12m

13m ?

Pythagoras C Home

1) 2)

3)

Calculate the unknown lengths:

6m

1.2m

? 2.2m

5.3m

?

7.4m

?

10.5m

4)

6.4m

2.8m

?

3.7m

?

Pythagoras C Answers Home

1) 2)

3)

Calculate the unknown lengths:

6m

1.2m

? 2.2m

5.3m

?

7.4m

?

10.5m

4)

6.4m

2.8m

?

3.7m

?

Pythagoras D Home

1) 2)

3)

Calculate the unknown lengths:

12cm 5cm

8cm

A

5.2m

C

3m

B

12cm 5cm

8cm

10.5m D

2m

Pythagoras D Answers Home

1) 2)

3)

Calculate the unknown lengths:

12cm 5cm

8cm

A

5.2m

C

3m

B

12cm 5cm

8cm

10.5m D

2m

Trigonometry E Home

1)

Calculate the following (check your calculator is set to degrees) Sin 45˚

Cos 45˚

Tan 18˚

2) 5)

6) 3)

4)

7) 8)

9) 10)

Label the triangle sides: Opposite ‘O’ Adjacent ‘A’ Hypotenuse ‘H’

Sin 120˚

Cos 104˚

Tan 125˚

23˚

44˚

51˚

62˚

Trigonometry E Answers Home

1)

Calculate the following (check your calculator is set to degrees) Sin 45˚

Cos 45˚

Tan 18˚

2) 5)

6) 3)

4)

7) 8)

9) 10)

Label the triangle sides: Opposite ‘O’ Adjacent ‘A’ Hypotenuse ‘H’

Sin 120˚

Cos 104˚

Tan 125˚

23˚

44˚

51˚

62˚

Trigonometry F Home

1)

Calculate the unknown side of the triangle 2)

3) 4)

23˚

44˚

51˚

62˚

9m x

x

x

x

14m

23cm

12km

Trigonometry F Answers Home

1)

Calculate the unknown side of the triangle 2)

3) 4)

23˚

44˚

51˚

62˚

9m x

x

x

x

14m

23cm

12km

Trigonometry G Home

1)

Calculate the unknown side of the triangle 2)

3) 4)

32˚

41˚

39˚

71˚

120mm

x

x

x

x 240m

3.5cm

8.8m

Trigonometry G Answers Home

1)

Calculate the unknown side of the triangle 2)

3) 4)

32˚

41˚

39˚

71˚

120mm

x

x

x

x 240m

3.5cm

8.8m

Trigonometry H Home

Calculate the unknown distance

4)

x

65˚

12.4m

1)

6m

72˚

x

2)

2.6m

x

62˚

8.9m

58˚

x

3)

Trigonometry H Answers Home

Calculate the unknown distance

4)

x

65˚

12.4m

1)

6m

72˚

x

2)

2.6m

x

62˚

8.9m

58˚

x

3)

Trigonometry I Home

Calculate the unknown distance

4)

1)

6.7m

31˚

x

2)

1.4km x

3)

16m

41˚

x

75˚

88˚

5.2m x

Trigonometry I Answers Home

Calculate the unknown distance

4)

1)

6.7m

31˚

x

2)

1.4km x

3)

16m

41˚

x

75˚

88˚

5.2m x

Trigonometry J Home

1) 2)

3) 4)

Calculate the unknown angles:

6.4m

5m

α

25mm 8mm

23cm 17cm

12m

13m

α α

α

Trigonometry J Answers Home

1) 2)

3) 4)

Calculate the unknown angles:

6.4m

5m

α

25mm 8mm

23cm 17cm

12m

13m

α α

α

Trigonometry K Home

Calculate the unknown angles

4)

2.3m 6.4m

1)

6m

α

2)

2.6m

9m

3)

5m

α

α

α

8m

12m

Trigonometry K Answers Home

Calculate the unknown angles

4)

2.3m 6.4m

1)

6m

α

2)

2.6m

9m

3)

5m

α

α

α

8m

12m

Trigonometry L Home

55˚

How long is the vector 1)

2)

3)

4)

7

5

15cm

18cm

2) Length 3) Length 4) Angle

Trigonometry L Answers Home

55˚

How long is the vector 1)

2)

3)

4)

7

5

15cm

18cm

2) Length 3) Length 4) Angle

Trigonometry M Home

Calculate the unknown distances or angles

4)

8km

1)

2)

14km

α

Port

N

E W

S

4.5km

5)

3)

Port

55˚

6) A yacht sails for 23km on a bearing of 233How far south of the port is the yacht now?

Trigonometry M Answers Home

Calculate the unknown distances or angles

4)

8km

1)

2)

14km

α

Port

N

E W

S

4.5km

5)

3)

Port

55˚

6) A yacht sails for 23km on a bearing of 233How far south of the port is the yacht now?

Revision A Home

1)

2)

3)

Find the tree height ‘h’

1.6m

h

35˚

9.6m

Find the length ‘x’ and angle α

1.8m

x

2.1m

α

2.5cmx

β

9.4cm

Find the length ‘x’ and angle β

Revision A Answers Home

1)

2)

3)

Find the tree height ‘h’

1.6m

h

35˚

9.6m

Find the length ‘x’ and angle α

1.8m

x

2.1m

α

2.5cmx

β

9.4cm

Find the length ‘x’ and angle β

Revision B Home

1)

2)

3)

Find the height ‘h’

Find the length ‘y’

8.2m

Find the length ‘x’ and angle β

1.9km x

11m

48˚

h

2.8km

63˚ y

β

Revision B Answers Home

1)

2)

3)

Find the height ‘h’

Find the length ‘y’

8.2m

Find the length ‘x’ and angle β

1.9km x

11m

48˚

h

2.8km

63˚ y

β