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.A right-angled triangle has shorter sides of 9 cm and 40 cm. Find the length of the hypotenuse.
Answer: 41 cm
- c2 = 92 + 402
- c2 = 81 + 1600 = 1681
- c = √1681 = 41
2.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 12 m. Give your answer to 1 decimal place.
Answer: 12.4 m
- c2 = 32 + 122 = 153
- c = √153 ≈ 12.4
3.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
4.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
5.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 6 m. Give your answer to 1 decimal place.
Answer: 10 m
- c2 = 82 + 62 = 100
- c = √100 ≈ 10
6.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 7 m. Give your answer to 1 decimal place.
Answer: 7.6 m
- c2 = 32 + 72 = 58
- c = √58 ≈ 7.6
7.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
8.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 12 m. Give your answer to 1 decimal place.
Answer: 12.6 m
- c2 = 42 + 122 = 160
- c = √160 ≈ 12.6
Marking tips
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