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 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