Year 10 Pythagoras' Theorem Worksheet — Level 2 — 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 2 — Practice Set 3 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your working.
1.A right-angled triangle has shorter sides of 3 cm and 4 cm. Find the length of the hypotenuse.
Answer: 5 cm
- c2 = 32 + 42
- c2 = 9 + 16 = 25
- c = √25 = 5
2.A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Find the other side.
Answer: 21 cm
- b2 = 292 − 202
- b2 = 841 − 400 = 441
- b = √441 = 21
3.A right-angled triangle has shorter sides of 12 cm and 16 cm. Find the length of the hypotenuse.
Answer: 20 cm
- c2 = 122 + 162
- c2 = 144 + 256 = 400
- c = √400 = 20
4.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 3 m. Give your answer to 1 decimal place.
Answer: 5.8 m
- c2 = 52 + 32 = 34
- c = √34 ≈ 5.8
5.A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Find the other side.
Answer: 16 cm
- b2 = 202 − 122
- b2 = 400 − 144 = 256
- b = √256 = 16
6.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
7.A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Find the other side.
Answer: 4 cm
- b2 = 52 − 32
- b2 = 25 − 9 = 16
- b = √16 = 4
8.A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Find the other side.
Answer: 40 cm
- b2 = 412 − 92
- b2 = 1681 − 81 = 1600
- b = √1600 = 40
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.