Year 10 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your working.
1.A right-angled triangle has shorter sides of 20 cm and 21 cm. Find the length of the hypotenuse.
Answer: 29 cm
- c2 = 202 + 212
- c2 = 400 + 441 = 841
- c = √841 = 29
2.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
3.A right-angled triangle has shorter sides of 5 cm and 12 cm. Find the length of the hypotenuse.
Answer: 13 cm
- c2 = 52 + 122
- c2 = 25 + 144 = 169
- c = √169 = 13
4.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 5 m. Give your answer to 1 decimal place.
Answer: 6.4 m
- c2 = 42 + 52 = 41
- c = √41 ≈ 6.4
5.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
6.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 11 m. Give your answer to 1 decimal place.
Answer: 15.6 m
- c2 = 112 + 112 = 242
- c = √242 ≈ 15.6
7.Find the hypotenuse of a right-angled triangle with shorter sides 7 m and 10 m. Give your answer to 1 decimal place.
Answer: 12.2 m
- c2 = 72 + 102 = 149
- c = √149 ≈ 12.2
8.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 6 m. Give your answer to 1 decimal place.
Answer: 12.5 m
- c2 = 112 + 62 = 157
- c = √157 ≈ 12.5
Marking tips
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