10th Grade Pythagorean Theorem Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your work.
1.Find the hypotenuse of a right triangle with shorter sides 10 m and 4 m. Give your answer to 1 decimal place.
Answer: 10.8 m
- c2 = 102 + 42 = 116
- c = √116 ≈ 10.8
2.Find the hypotenuse of a right triangle with shorter sides 8 m and 6 m. Give your answer to 1 decimal place.
Answer: 10 m
- c2 = 82 + 62 = 100
- c = √100 ≈ 10
3.A right 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
4.A right triangle has shorter sides of 12 cm and 16 cm. Find the length of the hypotenuse.
Answer: 20 cm
- c2 = 122 + 162
- c2 = 144 + 256 = 400
- c = √400 = 20
5.A right triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Find the other side.
Answer: 12 cm
- b2 = 152 − 92
- b2 = 225 − 81 = 144
- b = √144 = 12
6.A right triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Find the other side.
Answer: 40 cm
- b2 = 412 − 92
- b2 = 1681 − 81 = 1600
- b = √1600 = 40
7.Find the hypotenuse of a right triangle with shorter sides 9 m and 8 m. Give your answer to 1 decimal place.
Answer: 12 m
- c2 = 92 + 82 = 145
- c = √145 ≈ 12
8.Find the hypotenuse of a right 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
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