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 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 12 m and 5 m. Give your answer to 1 decimal place.
Answer: 13 m
- c2 = 122 + 52 = 169
- c = √169 ≈ 13
3.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
4.Find the hypotenuse of a right-angled triangle with shorter sides 9 m and 7 m. Give your answer to 1 decimal place.
Answer: 11.4 m
- c2 = 92 + 72 = 130
- c = √130 ≈ 11.4
5.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
6.A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 15 cm. Find the other side.
Answer: 20 cm
- b2 = 252 − 152
- b2 = 625 − 225 = 400
- b = √400 = 20
7.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
8.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 6 m. Give your answer to 1 decimal place.
Answer: 8.5 m
- c2 = 62 + 62 = 72
- c = √72 ≈ 8.5
Marking tips
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