9th Grade Pythagorean Theorem Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — 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 4 m and 5 m. Give your answer to 1 decimal place.
Answer: 6.4 m
- c2 = 42 + 52 = 41
- c = √41 ≈ 6.4
3.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
4.Find the hypotenuse of a right triangle with shorter sides 12 m and 10 m. Give your answer to 1 decimal place.
Answer: 15.6 m
- c2 = 122 + 102 = 244
- c = √244 ≈ 15.6
5.Find the hypotenuse of a right triangle with shorter sides 4 m and 8 m. Give your answer to 1 decimal place.
Answer: 8.9 m
- c2 = 42 + 82 = 80
- c = √80 ≈ 8.9
6.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
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.A right triangle has shorter sides of 6 cm and 8 cm. Find the length of the hypotenuse.
Answer: 10 cm
- c2 = 62 + 82
- c2 = 36 + 64 = 100
- c = √100 = 10
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