Year 10 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 pythagoras' theorem worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Pythagoras' TheoremYear 10 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 2 — 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 6 m and 7 m. Give your answer to 1 decimal place.
Answer: 9.2 m
- c2 = 62 + 72 = 85
- c = √85 ≈ 9.2
2.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 4 m. Give your answer to 1 decimal place.
Answer: 6.4 m
- c2 = 52 + 42 = 41
- c = √41 ≈ 6.4
3.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 5 m. Give your answer to 1 decimal place.
Answer: 5.8 m
- c2 = 32 + 52 = 34
- c = √34 ≈ 5.8
4.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 9 m. Give your answer to 1 decimal place.
Answer: 12 m
- c2 = 82 + 92 = 145
- c = √145 ≈ 12
5.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
6.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 6 m. Give your answer to 1 decimal place.
Answer: 10 m
- c2 = 82 + 62 = 100
- c = √100 ≈ 10
7.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 4 m. Give your answer to 1 decimal place.
Answer: 11.7 m
- c2 = 112 + 42 = 137
- c = √137 ≈ 11.7
8.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 5 m. Give your answer to 1 decimal place.
Answer: 7.1 m
- c2 = 52 + 52 = 50
- c = √50 ≈ 7.1
Marking tips
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