10th Grade Pythagorean Theorem Worksheet — Level 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 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your work.
1.Find the hypotenuse of a right triangle with shorter sides 5 m and 4 m. Give your answer to 1 decimal place.
Answer: 6.4 m
- c2 = 52 + 42 = 41
- c = √41 ≈ 6.4
2.Find the hypotenuse of a right triangle with shorter sides 7 m and 9 m. Give your answer to 1 decimal place.
Answer: 11.4 m
- c2 = 72 + 92 = 130
- c = √130 ≈ 11.4
3.Find the hypotenuse of a right triangle with shorter sides 12 m and 9 m. Give your answer to 1 decimal place.
Answer: 15 m
- c2 = 122 + 92 = 225
- c = √225 ≈ 15
4.A right 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.Find the hypotenuse of a right triangle with shorter sides 12 m and 8 m. Give your answer to 1 decimal place.
Answer: 14.4 m
- c2 = 122 + 82 = 208
- c = √208 ≈ 14.4
6.Find the hypotenuse of a right triangle with shorter sides 8 m and 12 m. Give your answer to 1 decimal place.
Answer: 14.4 m
- c2 = 82 + 122 = 208
- c = √208 ≈ 14.4
7.A right 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
8.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
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