Pythagoras in 3 dimensions
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Quick explanation of how to use Pythagoras in 3 dimensions.
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Pythagoras in 3 dimensions
- 2. What’s the longest stick you can put in the box?
- 3. What’s the longest stick you can put in the box?
- 4. What’s the longest stick you can put in the box?
- 5. What’s the longest stick you can put in the box?
- 6. What’s the longest stick you can put in the box?
- 7. What’s the longest stick you can put in the box? 𝑎 𝑏 𝑐 𝑐 = 𝑎2 + 𝑏2 …but we don’t know 𝑏
- 8. What’s the longest stick you can put in the box? 𝑏 = 𝑑2 + 𝑒2 𝑏 𝑑 𝑒
- 9. What’s the longest stick you can put in the box? 𝑏 = 𝑑2 + 𝑒2 so find 𝑏 first, then find 𝑐 𝑑 𝑒 𝑏
- 10. What’s the longest stick you can put in the box? 𝑏 = 𝑑2 + 𝑒2 so find 𝑏 first, then find 𝑐 OR the shortcut: 𝑏 𝑑 𝑒
- 11. What’s the longest stick you can put in the box? 𝑏 = 𝑑2 + 𝑒2 or 𝒃 𝟐 = 𝒅 𝟐 + 𝒆 𝟐 𝑏 𝑑 𝑒
- 12. What’s the longest stick you can put in the box? 𝑏 𝑑 𝑒 𝑎 𝑐 = 𝑎2 + 𝑏2 …and 𝒃 𝟐 = 𝒅 𝟐 + 𝒆 𝟐 so 𝑐 = 𝑎2 + 𝒅 𝟐 + 𝒆 𝟐 𝑐
- 13. What’s the longest stick you can put in the box? 𝒅 𝒆 𝒂 Shortcut: 𝑐 = 𝒂2 + 𝒅 𝟐 + 𝒆 𝟐 𝑐
- 14. What’s the longest stick you can put in the box? 𝒅 𝒆 𝒂 Shortcut: 𝑐 = 𝒂2 + 𝒅 𝟐 + 𝒆 𝟐 𝑐 = 𝒉𝒆𝒊𝒈𝒉𝒕2 + 𝒘𝒊𝒅𝒕𝒉 𝟐 + 𝒅𝒆𝒑𝒕𝒉 𝟐 𝑐
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