9th Grade Pythagorean Theorem Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 9th Grade pythagorean theorem worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Pythagoras' Theorem9th 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 8 m and 3 m. Give your answer to 1 decimal place.
Answer: 8.5 m
- c2 = 82 + 32 = 73
- c = √73 ≈ 8.5
2.A right triangle has shorter sides of 15 cm and 20 cm. Find the length of the hypotenuse.
Answer: 25 cm
- c2 = 152 + 202
- c2 = 225 + 400 = 625
- c = √625 = 25
3.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
4.Find the hypotenuse of a right triangle with shorter sides 6 m and 12 m. Give your answer to 1 decimal place.
Answer: 13.4 m
- c2 = 62 + 122 = 180
- c = √180 ≈ 13.4
5.Find the hypotenuse of a right triangle with shorter sides 8 m and 10 m. Give your answer to 1 decimal place.
Answer: 12.8 m
- c2 = 82 + 102 = 164
- c = √164 ≈ 12.8
6.Find the hypotenuse of a right triangle with shorter sides 5 m and 9 m. Give your answer to 1 decimal place.
Answer: 10.3 m
- c2 = 52 + 92 = 106
- c = √106 ≈ 10.3
7.Find the hypotenuse of a right triangle with shorter sides 11 m and 12 m. Give your answer to 1 decimal place.
Answer: 16.3 m
- c2 = 112 + 122 = 265
- c = √265 ≈ 16.3
8.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
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