Year 10 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 3 — 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 3 — 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 8 m. Give your answer to 1 decimal place.
Answer: 9.4 m
- c2 = 52 + 82 = 89
- c = √89 ≈ 9.4
2.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
3.A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Find the other side.
Answer: 21 cm
- b2 = 292 − 202
- b2 = 841 − 400 = 441
- b = √441 = 21
4.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
5.Find the hypotenuse of a right-angled triangle with shorter sides 7 m and 11 m. Give your answer to 1 decimal place.
Answer: 13 m
- c2 = 72 + 112 = 170
- c = √170 ≈ 13
6.A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Find the other side.
Answer: 4 cm
- b2 = 52 − 32
- b2 = 25 − 9 = 16
- b = √16 = 4
7.Find the hypotenuse of a right-angled triangle with shorter sides 12 m and 5 m. Give your answer to 1 decimal place.
Answer: 13 m
- c2 = 122 + 52 = 169
- c = √169 ≈ 13
8.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
Marking tips
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