Year 10 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 3 — 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 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 11 m. Give your answer to 1 decimal place.
Answer: 14.9 m
- c2 = 102 + 112 = 221
- c = √221 ≈ 14.9
2.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 12 m. Give your answer to 1 decimal place.
Answer: 13.4 m
- c2 = 62 + 122 = 180
- c = √180 ≈ 13.4
3.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 11 m. Give your answer to 1 decimal place.
Answer: 13.6 m
- c2 = 82 + 112 = 185
- c = √185 ≈ 13.6
4.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 11 m. Give your answer to 1 decimal place.
Answer: 12.5 m
- c2 = 62 + 112 = 157
- c = √157 ≈ 12.5
5.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 8 m. Give your answer to 1 decimal place.
Answer: 12.8 m
- c2 = 102 + 82 = 164
- c = √164 ≈ 12.8
6.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 6 m. Give your answer to 1 decimal place.
Answer: 7.8 m
- c2 = 52 + 62 = 61
- c = √61 ≈ 7.8
7.Find the hypotenuse of a right-angled triangle with shorter sides 9 m and 11 m. Give your answer to 1 decimal place.
Answer: 14.2 m
- c2 = 92 + 112 = 202
- c = √202 ≈ 14.2
8.Find the hypotenuse of a right-angled triangle with shorter sides 7 m and 3 m. Give your answer to 1 decimal place.
Answer: 7.6 m
- c2 = 72 + 32 = 58
- c = √58 ≈ 7.6
Marking tips
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