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 6 m. Give your answer to 1 decimal place.
Answer: 7.8 m
- c2 = 52 + 62 = 61
- c = √61 ≈ 7.8
2.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 4 m. Give your answer to 1 decimal place.
Answer: 7.2 m
- c2 = 62 + 42 = 52
- c = √52 ≈ 7.2
3.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 8 m. Give your answer to 1 decimal place.
Answer: 12.8 m
- c2 = 102 + 82 = 164
- c = √164 ≈ 12.8
4.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
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.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
7.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
8.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 6 m. Give your answer to 1 decimal place.
Answer: 7.2 m
- c2 = 42 + 62 = 52
- c = √52 ≈ 7.2
Marking tips
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