Year 10 Pythagoras' Theorem Worksheet — Level 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 — 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 4 m. Give your answer to 1 decimal place.
Answer: 10.8 m
- c2 = 102 + 42 = 116
- c = √116 ≈ 10.8
2.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 3 m. Give your answer to 1 decimal place.
Answer: 8.5 m
- c2 = 82 + 32 = 73
- c = √73 ≈ 8.5
3.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 11 m. Give your answer to 1 decimal place.
Answer: 11.7 m
- c2 = 42 + 112 = 137
- c = √137 ≈ 11.7
4.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 4 m. Give your answer to 1 decimal place.
Answer: 7.2 m
- c2 = 62 + 42 = 52
- c = √52 ≈ 7.2
5.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 7 m. Give your answer to 1 decimal place.
Answer: 13 m
- c2 = 112 + 72 = 170
- c = √170 ≈ 13
6.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 9 m. Give your answer to 1 decimal place.
Answer: 9.8 m
- c2 = 42 + 92 = 97
- c = √97 ≈ 9.8
7.Find the hypotenuse of a right-angled triangle with shorter sides 7 m and 5 m. Give your answer to 1 decimal place.
Answer: 8.6 m
- c2 = 72 + 52 = 74
- c = √74 ≈ 8.6
8.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 12 m. Give your answer to 1 decimal place.
Answer: 14.4 m
- c2 = 82 + 122 = 208
- c = √208 ≈ 14.4
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