9th Grade Pythagorean Theorem Worksheet — Level 2 — Practice Set 4 — 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 — 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 9 m and 3 m. Give your answer to 1 decimal place.
Answer: 9.5 m
- c2 = 92 + 32 = 90
- c = √90 ≈ 9.5
2.Find the hypotenuse of a right triangle with shorter sides 3 m and 10 m. Give your answer to 1 decimal place.
Answer: 10.4 m
- c2 = 32 + 102 = 109
- c = √109 ≈ 10.4
3.A right 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
4.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
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.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
7.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
8.Find the hypotenuse of a right triangle with shorter sides 12 m and 3 m. Give your answer to 1 decimal place.
Answer: 12.4 m
- c2 = 122 + 32 = 153
- c = √153 ≈ 12.4
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