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Pythagorean Theorem (Intro) — Easy Worksheet 2
Grade 8 · MathSheets Name: ____________________ Date: __________
Find the length of the hypotenuse.
How to solve
Use the Pythagorean theorem: a² + b² = c², where a and b are the legs and c is the hypotenuse. Square both legs, add them, and take the square root: c = √(a² + b²).
Example
A right triangle has legs of length 5 and 12. Find the hypotenuse.
Answer: 13
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 82 + 62 = 64 + 36 = 100, so c = √100 = 10. The hypotenuse is 10.
✓ Correct!
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 82 + 62 = 64 + 36 = 100, so c = √100 = 10. The hypotenuse is 10.
💡 How to solve: Pythagorean Theorem (Intro)
Use the Pythagorean theorem: a² + b² = c², where a and b are the legs and c is the hypotenuse. Square both legs, add them, and take the square root: c = √(a² + b²).
Try a similar one
A right triangle has legs of length 12 and 9. Find the hypotenuse.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 122 + 92 = 144 + 81 = 225, so c = √225 = 15. The hypotenuse is 15.
✓ Correct!
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 122 + 92 = 144 + 81 = 225, so c = √225 = 15. The hypotenuse is 15.
💡 How to solve: Pythagorean Theorem (Intro)
Use the Pythagorean theorem: a² + b² = c², where a and b are the legs and c is the hypotenuse. Square both legs, add them, and take the square root: c = √(a² + b²).
Try a similar one
A right triangle has legs of length 12 and 5. Find the hypotenuse.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 62 + 82 = 36 + 64 = 100, so c = √100 = 10. The hypotenuse is 10.
✓ Correct!
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 62 + 82 = 36 + 64 = 100, so c = √100 = 10. The hypotenuse is 10.
💡 How to solve: Pythagorean Theorem (Intro)
Use the Pythagorean theorem: a² + b² = c², where a and b are the legs and c is the hypotenuse. Square both legs, add them, and take the square root: c = √(a² + b²).
Try a similar one
A right triangle has legs of length 8 and 6. Find the hypotenuse.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 92 + 122 = 81 + 144 = 225, so c = √225 = 15. The hypotenuse is 15.
✓ Correct!
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 92 + 122 = 81 + 144 = 225, so c = √225 = 15. The hypotenuse is 15.
💡 How to solve: Pythagorean Theorem (Intro)
Use the Pythagorean theorem: a² + b² = c², where a and b are the legs and c is the hypotenuse. Square both legs, add them, and take the square root: c = √(a² + b²).
Try a similar one
A right triangle has legs of length 8 and 6. Find the hypotenuse.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 122 + 52 = 144 + 25 = 169, so c = √169 = 13. The hypotenuse is 13.
✓ Correct!
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 122 + 52 = 144 + 25 = 169, so c = √169 = 13. The hypotenuse is 13.
💡 How to solve: Pythagorean Theorem (Intro)
Use the Pythagorean theorem: a² + b² = c², where a and b are the legs and c is the hypotenuse. Square both legs, add them, and take the square root: c = √(a² + b²).
Try a similar one
A right triangle has legs of length 3 and 4. Find the hypotenuse.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 42 + 32 = 16 + 9 = 25, so c = √25 = 5. The hypotenuse is 5.
✓ Correct!
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 42 + 32 = 16 + 9 = 25, so c = √25 = 5. The hypotenuse is 5.
💡 How to solve: Pythagorean Theorem (Intro)
Use the Pythagorean theorem: a² + b² = c², where a and b are the legs and c is the hypotenuse. Square both legs, add them, and take the square root: c = √(a² + b²).
Try a similar one
A right triangle has legs of length 8 and 6. Find the hypotenuse.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 32 + 42 = 9 + 16 = 25, so c = √25 = 5. The hypotenuse is 5.
✓ Correct!
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 32 + 42 = 9 + 16 = 25, so c = √25 = 5. The hypotenuse is 5.
💡 How to solve: Pythagorean Theorem (Intro)
Use the Pythagorean theorem: a² + b² = c², where a and b are the legs and c is the hypotenuse. Square both legs, add them, and take the square root: c = √(a² + b²).
Try a similar one
A right triangle has legs of length 12 and 5. Find the hypotenuse.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 52 + 122 = 25 + 144 = 169, so c = √169 = 13. The hypotenuse is 13.
✓ Correct!
Not quite. The answer is
💡 By the Pythagorean theorem, a2 + b2 = c2. c2 = 52 + 122 = 25 + 144 = 169, so c = √169 = 13. The hypotenuse is 13.
💡 How to solve: Pythagorean Theorem (Intro)
Use the Pythagorean theorem: a² + b² = c², where a and b are the legs and c is the hypotenuse. Square both legs, add them, and take the square root: c = √(a² + b²).
Try a similar one
A right triangle has legs of length 12 and 5. Find the hypotenuse.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Pythagorean Theorem (Intro) — Easy Worksheet 2
Find the length of the hypotenuse.