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.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 25 cm and one shorter side of 7 cm. Find the other side.
Answer: 24 cm
- b2 = 252 − 72
- b2 = 625 − 49 = 576
- b = √576 = 24
3.Find the hypotenuse of a right-angled triangle with shorter sides 9 m and 9 m. Give your answer to 1 decimal place.
Answer: 12.7 m
- c2 = 92 + 92 = 162
- c = √162 ≈ 12.7
4.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 4 m. Give your answer to 1 decimal place.
Answer: 10.8 m
- c2 = 102 + 42 = 116
- c = √116 ≈ 10.8
5.Find the hypotenuse of a right-angled triangle with shorter sides 12 m and 11 m. Give your answer to 1 decimal place.
Answer: 16.3 m
- c2 = 122 + 112 = 265
- c = √265 ≈ 16.3
6.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 5 m. Give your answer to 1 decimal place.
Answer: 11.2 m
- c2 = 102 + 52 = 125
- c = √125 ≈ 11.2
7.Find the hypotenuse of a right-angled triangle with shorter sides 9 m and 12 m. Give your answer to 1 decimal place.
Answer: 15 m
- c2 = 92 + 122 = 225
- c = √225 ≈ 15
8.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 8 m. Give your answer to 1 decimal place.
Answer: 13.6 m
- c2 = 112 + 82 = 185
- c = √185 ≈ 13.6
Marking tips
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