Year 10 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 4 — 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 4 — 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 5 m and 4 m. Give your answer to 1 decimal place.
Answer: 6.4 m
- c2 = 52 + 42 = 41
- c = √41 ≈ 6.4
2.A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Find the other side.
Answer: 8 cm
- b2 = 102 − 62
- b2 = 100 − 36 = 64
- b = √64 = 8
3.A right-angled triangle has shorter sides of 15 cm and 20 cm. Find the length of the hypotenuse.
Answer: 25 cm
- c2 = 152 + 202
- c2 = 225 + 400 = 625
- c = √625 = 25
4.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
5.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 10 m. Give your answer to 1 decimal place.
Answer: 11.7 m
- c2 = 62 + 102 = 136
- c = √136 ≈ 11.7
6.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
7.A right-angled triangle has shorter sides of 7 cm and 24 cm. Find the length of the hypotenuse.
Answer: 25 cm
- c2 = 72 + 242
- c2 = 49 + 576 = 625
- c = √625 = 25
8.A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Find the other side.
Answer: 12 cm
- b2 = 152 − 92
- b2 = 225 − 81 = 144
- b = √144 = 12
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.
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