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Proving Pythagoras' Theorem with Example: Finding 'c'

Explore how Pythagoras' Theorem (a² + b² = c²) is established and applied with an example to find the hypotenuse 'c'. Equations and steps provided to understand the concept fully.

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Proving Pythagoras' Theorem with Example: Finding 'c'

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  1. A Proof of Pythagoras’ Theorem

  2. a2 + b2 = c2 c a b

  3. a2 c a b b2

  4. c a b

  5. c a b

  6. c a b

  7.  a2 + b2 = c2 c a b Pythagoras’ Theorem is proved. c2

  8. a2 + b2 = c2 c a b Pythagoras’ Theorem

  9. Example. Find c. c 3 4 By Pythagoras’ Theorem, c2 = 32 +42 = 9+16 =25 = 5

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