9th Grade Pythagorean Theorem Worksheet — Level 2 — Practice Set 3 — 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 3 — 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 15 cm. Find the other side.
Answer: 20 cm
- b2 = 252 − 152
- b2 = 625 − 225 = 400
- b = √400 = 20
2.Find the hypotenuse of a right triangle with shorter sides 7 m and 10 m. Give your answer to 1 decimal place.
Answer: 12.2 m
- c2 = 72 + 102 = 149
- c = √149 ≈ 12.2
3.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
4.Find the hypotenuse of a right triangle with shorter sides 10 m and 12 m. Give your answer to 1 decimal place.
Answer: 15.6 m
- c2 = 102 + 122 = 244
- c = √244 ≈ 15.6
5.A right triangle has shorter sides of 9 cm and 12 cm. Find the length of the hypotenuse.
Answer: 15 cm
- c2 = 92 + 122
- c2 = 81 + 144 = 225
- c = √225 = 15
6.A right triangle has shorter sides of 20 cm and 21 cm. Find the length of the hypotenuse.
Answer: 29 cm
- c2 = 202 + 212
- c2 = 400 + 441 = 841
- c = √841 = 29
7.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
8.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
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