Use Pythagoras theorem to show that a Triangle

Use Pythagoras theorem to show that a Triangle is Right -Angled Miss Davies Maths 1

Pythagoras 1. Find the missing lengths in the 2. Use Pythagoras’ theorem to work right-angled triangles. out if each triangle is right-angled or not. a) a) b) 12 cm b) 16 cm 66 m 16 cm c) 22 m 48 m 15 cm 17 m d) 22 m 17 m 2 80 m 39 cm 36 cm c) d) 40 11 42 42 cm 70 cm 56 cm

Pythagoras 3. Use Pythagoras’ theorem to state 4. Given two sides of a right-angled whether the sets of numbers are triangle, what are the two possible Pythagorean triples or not. lengths for the other side? a) 15, 20, 25 b) 24, 26, 10 c) 11, 22, 33 d) 90, 120, 150 e) 96, 72, 125 The first one is done for you. a) 5 cm and 8 cm. If c = 8, then the other side is 6. 24 cm. If c is unknown, it is 9. 43 cm. b) 12 cm and 17 cm c) 20 m and 16 m d) 91 mm and 67 mm 3

Answers 4

Pythagoras 1. Find the missing lengths in the 2. Use Pythagoras’ theorem to work right-angled triangles. out if each triangle is right-angled or a) 12 cm 10. 58 cm 12 cm 20 cm b) not. a) 16 cm c) 22 m 27. 8 m 17 m 39 cm 36 cm 13. 96 m 17 m 22 m 40 c) 42 11 No 48 m 15 cm No 5 80 m 66 m Yes d) b) 42 cm 70 cm d) 56 cm Yes

Pythagoras 3. Use Pythagoras’ theorem to state 4. Given two sides of a right-angled whether the sets of numbers are triangle, what are the two possible Pythagorean triples or not. lengths for the other side? a) 15, 20, 25 Yes b) 24, 26, 10 Yes c) 11, 22, 33 No d) 90, 120, 150 Yes e) 96, 72, 125 No 6 The first one is done for you. a) 5 cm and 8 cm. If c = 8, then the other side is 6. 24 cm. If c is unknown, it is 9. 43 cm. b) 12 cm and 17 cm 12. 0 cm or 20. 8 cm c) 20 m and 16 m 12 m or 25. 6 m d) 91 mm and 67 mm 61. 6 mm or 113. 0 mm