Year 9 Pythagoras' Theorem Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 9 pythagoras' theorem worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Pythagoras' TheoremYear 9 Pythagoras' Theorem Worksheet — Level 3 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your working.
1.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 6 m. Give your answer to 1 decimal place.
Answer: 11.7 m
- c2 = 102 + 62 = 136
- c = √136 ≈ 11.7
2.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 8 m. Give your answer to 1 decimal place.
Answer: 13.6 m
- c2 = 112 + 82 = 185
- c = √185 ≈ 13.6
3.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 4 m. Give your answer to 1 decimal place.
Answer: 5.7 m
- c2 = 42 + 42 = 32
- c = √32 ≈ 5.7
4.Find the hypotenuse of a right-angled triangle with shorter sides 7 m and 8 m. Give your answer to 1 decimal place.
Answer: 10.6 m
- c2 = 72 + 82 = 113
- c = √113 ≈ 10.6
5.Find the hypotenuse of a right-angled triangle with shorter sides 7 m and 7 m. Give your answer to 1 decimal place.
Answer: 9.9 m
- c2 = 72 + 72 = 98
- c = √98 ≈ 9.9
6.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 8 m. Give your answer to 1 decimal place.
Answer: 10 m
- c2 = 62 + 82 = 100
- c = √100 ≈ 10
7.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 4 m. Give your answer to 1 decimal place.
Answer: 8.9 m
- c2 = 82 + 42 = 80
- c = √80 ≈ 8.9
8.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 12 m. Give your answer to 1 decimal place.
Answer: 13 m
- c2 = 52 + 122 = 169
- c = √169 ≈ 13
Marking tips
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