Y10 Triangle Starters Pythagoras A | Pythagoras A Answers Pythagoras B | Pythagoras B Answers Pythagoras C | Pythagoras C Answers Pythagoras D | Pythagoras D Answers Trigonometry E | Trigonometry E Answers Trigonometry F | Trigonometry F Answers Trigonometry G | Trigonometry G Answers Trigonometry H | Trigonometry H Answers Trigonometry I | Trigonometry J Answers Trigonometry J | Trigonometry J Answers Trigonometry K | Trigonometry K Answers Trigonometry L | Trigonometry L Answers Trigonometry M | Trigonometry M Answers Revision A | Revision A Answers Revision B | Revision B Answers

Pythagoras A Calculate the following: 2.32 = 52 + 62 = Home 1) 2) 3) 4) 5) 6) 7) 8) 9) 10)

Pythagoras A Answers Calculate the following: 2.32 = 52 + 62 = Home 1) 2) 52 + 62 = 3) 4) 5) 6) 7) 8) 9) 10)

Pythagoras B Calculate the unknown side lengths: ? ? 8mm 5m 15mm 6.4m Home Calculate the unknown side lengths: 1) 2) ? ? 8mm 5m 15mm 6.4m 3) 4) 23cm 13m ? 17cm 12m ?

Pythagoras B Answers Calculate the unknown side lengths: ? ? 8mm 5m Home Calculate the unknown side lengths: 1) 2) ? ? 8mm 5m 15mm 6.4m 3) 4) 23cm 13m ? 17cm 12m ?

Pythagoras C Calculate the unknown lengths: 2.2m 5.3m ? 6m ? 1.2m 6.4m Home Calculate the unknown lengths: 2.2m 5.3m ? 1) 2) 6m ? 1.2m 4) 6.4m 2.8m ? 3.7m 7.4m ? 10.5m 3)

Pythagoras C Answers Calculate the unknown lengths: 2.2m 5.3m ? 6m ? Home Calculate the unknown lengths: 2.2m 5.3m ? 1) 2) 6m ? 1.2m 4) 6.4m 2.8m ? 3.7m 7.4m ? 10.5m 3)

Pythagoras D Calculate the unknown lengths: A B 8cm 8cm C 5cm 5cm 12cm Home Calculate the unknown lengths: 1) 2) A B 8cm 8cm C 5cm 5cm 12cm 12cm 3) 2m D 10.5m 3m 5.2m

Pythagoras D Answers Calculate the unknown lengths: A B 8cm 8cm C 5cm Home Calculate the unknown lengths: 1) 2) A B 8cm 8cm C 5cm 5cm 12cm 12cm 3) 2m D 10.5m 3m 5.2m

Trigonometry E Home Calculate the following (check your calculator is set to degrees) 1) Sin 45˚ Cos 45˚ Tan 18˚ 4) Sin 120˚ Cos 104˚ Tan 125˚ 2) 5) 3) 6) Label the triangle sides: Opposite ‘O’ Adjacent ‘A’ Hypotenuse ‘H’ 7) 8) 23˚ 51˚ 9) 10) 62˚ 44˚

Trigonometry E Answers Home Calculate the following (check your calculator is set to degrees) 1) Sin 45˚ Cos 45˚ Tan 18˚ 4) Sin 120˚ Cos 104˚ Tan 125˚ 2) 5) 3) 6) Label the triangle sides: Opposite ‘O’ Adjacent ‘A’ Hypotenuse ‘H’ 7) 8) 23˚ 51˚ 9) 10) 62˚ 44˚

Trigonometry F Calculate the unknown side of the triangle x 9m x 23cm Home Calculate the unknown side of the triangle 1) 2) x 9m 51˚ x 23cm 23˚ 4) x 3) 62˚ x 44˚ 12km 14m

Trigonometry F Answers Home Calculate the unknown side of the triangle 1) 2) x 9m 51˚ x 23cm 23˚ 4) x 3) 62˚ x 44˚ 12km 14m

Trigonometry G Calculate the unknown side of the triangle x 120mm Home Calculate the unknown side of the triangle 1) x 2) 39˚ 120mm 3.5cm 32˚ x 4) 3) 71˚ 240m 41˚ x 8.8m x

Trigonometry G Answers Home Calculate the unknown side of the triangle 1) x 2) 39˚ 120mm 3.5cm 32˚ x 4) 3) 71˚ 240m 41˚ x 8.8m x

Trigonometry H Calculate the unknown distance x 2.6m 6m 62˚ x 72˚ Home Calculate the unknown distance 2) 2.6m x 62˚ 1) 6m 72˚ x 4) x 65˚ 12.4m 8.9m 58˚ x 3)

Trigonometry H Answers Home Calculate the unknown distance 2) 2.6m x 62˚ 1) 6m 72˚ x 4) x 65˚ 12.4m 8.9m 58˚ x 3)

Trigonometry I Calculate the unknown distance x 1.4km x 31˚ 41˚ 16m x Home Calculate the unknown distance 2) 1) x 1.4km x 31˚ 41˚ 16m 3) 4) 5.2m 75˚ x 6.7m 88˚ x

Trigonometry I Answers Home Calculate the unknown distance 2) 1) x 1.4km x 31˚ 41˚ 16m 3) 4) 5.2m 75˚ x 6.7m 88˚ x

Trigonometry J Calculate the unknown angles: 25mm α 8mm 5m α 6.4m 23cm Home Calculate the unknown angles: 1) 2) 25mm α 8mm 5m α 6.4m 3) 4) 23cm 13m 17cm α α 12m

Trigonometry J Answers Home Calculate the unknown angles: 1) 2) 25mm α 8mm 5m α 6.4m 3) 4) 23cm 13m 17cm α α 12m

Trigonometry K Calculate the unknown angles 8m α 2.6m 6m 5m α α α 6.4m Home Calculate the unknown angles 8m 2) 1) α 2.6m 6m 5m α 4) 3) α α 6.4m 2.3m 12m 9m

Trigonometry K Answers Home Calculate the unknown angles 8m 2) 1) α 2.6m 6m 5m α 4) 3) α α 6.4m 2.3m 12m 9m

Trigonometry L How long is the vector 18cm 15cm Home 55˚ 1) 4) 3) 2) 2) Length 3) Length 4) Angle

Trigonometry L Answers Home How long is the vector 1) 4) 18cm 3) 15cm 55˚ 2) 2) Length 3) Length 4) Angle

Trigonometry M Calculate the unknown distances or angles N E W S 8km Home Calculate the unknown distances or angles N E W S 8km 4.5km 1) 4) Port 14km 5) 2) 3) 55˚ Port A yacht sails for 23km on a bearing of 233 How far south of the port is the yacht now? 6) α

Trigonometry M Answers Home Calculate the unknown distances or angles N E W S 8km 4.5km 1) 4) Port 14km 5) 2) 3) 55˚ Port A yacht sails for 23km on a bearing of 233 How far south of the port is the yacht now? 6) α

Revision A Find the tree height ‘h’ h 35˚ 9.6m 1.6m Home 1.6m h 35˚ 9.6m Find the tree height ‘h’ 1) Find the length ‘x’ and angle β 2) 2.5cm x β 9.4cm Find the length ‘x’ and angle α 3) 1.8m x 2.1m α

Revision A Answers Find the tree height ‘h’ h 35˚ 9.6m 1.6m Home 1.6m h 35˚ 9.6m Find the tree height ‘h’ 1) Find the length ‘x’ and angle β 2) 2.5cm x β 9.4cm Find the length ‘x’ and angle α 3) 1.8m x 2.1m α

Revision B Find the height ‘h’ h 48˚ 11m Home Find the height ‘h’ 1) h 48˚ 11m Find the length ‘x’ and angle β 2) β x 1.9km 2.8km Find the length ‘y’ 3) y 63˚ 8.2m

Revision B Answers Find the height ‘h’ h 48˚ 11m Home Find the height ‘h’ 1) h 48˚ 11m Find the length ‘x’ and angle β 2) β x 1.9km 2.8km Find the length ‘y’ 3) y 63˚ 8.2m