1. Use the Pythagorean theorem: \( a^2 + b^2 = c^2 \)
- \( a = 3 \) cm, \( b = 4 \) cm
- \( 3^2 + 4^2 = c^2 \)
- \( 9 + 16 = c^2 \)
- \( 25 = c^2 \)
- \( c = \sqrt{25} = 5 \) cm
2. Use the Pythagorean theorem: \( a^2 + b^2 = c^2 \)
- \( a = 6 \) cm, \( b = 8 \) cm
- \( 6^2 + 8^2 = c^2 \)
- \( 36 + 64 = c^2 \)
- \( 100 = c^2 \)
- \( c = \sqrt{100} = 10 \) cm
3. Use the Pythagorean theorem: \( a^2 + b^2 = c^2 \)
- \( a = 5 \) cm, \( b = 12 \) cm
- \( 5^2 + 12^2 = c^2 \)
- \( 25 + 144 = c^2 \)
- \( 169 = c^2 \)
- \( c = \sqrt{169} = 13 \) cm
4. Use the Pythagorean theorem: \( a^2 + b^2 = c^2 \)
- \( a = 9 \) cm, \( b = 12 \) cm
- \( 9^2 + 12^2 = c^2 \)
- \( 81 + 144 = c^2 \)
- \( 225 = c^2 \)
- \( c = \sqrt{225} = 15 \) cm
5. Use the Pythagorean theorem: \( a^2 + b^2 = c^2 \)
- \( a = 7 \) cm, \( b = 24 \) cm
- \( 7^2 + 24^2 = c^2 \)
- \( 49 + 576 = c^2 \)
- \( 625 = c^2 \)
- \( c = \sqrt{625} = 25 \) cm
6. Use the Pythagorean theorem: \( a^2 + b^2 = c^2 \)
- \( a = 8 \) cm, \( b = 15 \) cm
- \( 8^2 + 15^2 = c^2 \)
- \( 64 + 225 = c^2 \)
- \( 289 = c^2 \)
- \( c = \sqrt{289} = 17 \) cm
7. Use the Pythagorean theorem: \( a^2 + b^2 = c^2 \)
- \( a = 12 \) cm, \( b = 16 \) cm
- \( 12^2 + 16^2 = c^2 \)
- \( 144 + 256 = c^2 \)
- \( 400 = c^2 \)
- \( c = \sqrt{400} = 20 \) cm
8. Use the Pythagorean theorem: \( a^2 + b^2 = c^2 \)
- \( a = 10 \) cm, \( b = 24 \) cm
- \( 10^2 + 24^2 = c^2 \)
- \( 100 + 576 = c^2 \)
- \( 676 = c^2 \)
- \( c = \sqrt{676} = 26 \) cm
9. Use the Pythagorean theorem: \( a^2 + b^2 = c^2 \)
- \( a = 15 \) cm, \( b = 20 \) cm
- \( 15^2 + 20^2 = c^2 \)
- \( 225 + 400 = c^2 \)
- \( 625 = c^2 \)
- \( c = \sqrt{625} = 25 \) cm
10. Use the Pythagorean theorem: \( a^2 + b^2 = c^2 \)
- \( a = 12 \) cm, \( b = 35 \) cm
- \( 12^2 + 35^2 = c^2 \)
- \( 144 + 1225 = c^2 \)
- \( 1369 = c^2 \)
- \( c = \sqrt{1369} = 37 \) cm
Parent Tip: Review the logic above to help your child master the concept of pythagorean theorem work sheet.
