Year 10 Pythagoras' Theorem Worksheet — Level 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 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 12 m and 10 m. Give your answer to 1 decimal place.
Answer: 15.6 m
- c2 = 122 + 102 = 244
- c = √244 ≈ 15.6
2.A right-angled triangle has shorter sides of 6 cm and 8 cm. Find the length of the hypotenuse.
Answer: 10 cm
- c2 = 62 + 82
- c2 = 36 + 64 = 100
- c = √100 = 10
3.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
4.A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Find the other side.
Answer: 12 cm
- b2 = 132 − 52
- b2 = 169 − 25 = 144
- b = √144 = 12
5.A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Find the other side.
Answer: 15 cm
- b2 = 172 − 82
- b2 = 289 − 64 = 225
- b = √225 = 15
6.Find the hypotenuse of a right-angled triangle with shorter sides 12 m and 12 m. Give your answer to 1 decimal place.
Answer: 17 m
- c2 = 122 + 122 = 288
- c = √288 ≈ 17
7.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
8.A right-angled triangle has shorter sides of 8 cm and 15 cm. Find the length of the hypotenuse.
Answer: 17 cm
- c2 = 82 + 152
- c2 = 64 + 225 = 289
- c = √289 = 17
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.