10th Grade Pythagorean Theorem Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 10th Grade pythagorean theorem worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Pythagoras' Theorem10th Grade Pythagorean Theorem Worksheet — Level 2 — Practice Set 2 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your work.
1.A right 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
2.Find the hypotenuse of a right triangle with shorter sides 4 m and 12 m. Give your answer to 1 decimal place.
Answer: 12.6 m
- c2 = 42 + 122 = 160
- c = √160 ≈ 12.6
3.A right 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
4.Find the hypotenuse of a right triangle with shorter sides 11 m and 10 m. Give your answer to 1 decimal place.
Answer: 14.9 m
- c2 = 112 + 102 = 221
- c = √221 ≈ 14.9
5.Find the hypotenuse of a right triangle with shorter sides 6 m and 5 m. Give your answer to 1 decimal place.
Answer: 7.8 m
- c2 = 62 + 52 = 61
- c = √61 ≈ 7.8
6.A right triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Find the other side.
Answer: 15 cm
- b2 = 172 − 82
- b2 = 289 − 64 = 225
- b = √225 = 15
7.A right 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
8.Find the hypotenuse of a right triangle with shorter sides 8 m and 4 m. Give your answer to 1 decimal place.
Answer: 8.9 m
- c2 = 82 + 42 = 80
- c = √80 ≈ 8.9
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