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Pythagoras Theorem

Pythagoras Theorem. Year 9. Pythagoras. Discovered something about the sides of a Right Angled Triangle. Longest Side. HYPOTENUSE. A rightangle 90 o. Squares on Sides. 9 + 16 = 25. Area. 5 x 5. = 5 2. Area. 3 x 3. 25cm 2. 5. 3. 9cm 2. = 3 2. Area. 4. 16cm 2. 4 x 4. = 4 2.

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Pythagoras Theorem

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  1. Pythagoras Theorem Year 9

  2. Pythagoras • Discovered something about the sides of a Right Angled Triangle Longest Side HYPOTENUSE A rightangle 90o

  3. Squares on Sides 9 + 16 = 25 Area 5 x 5 = 52 Area 3 x 3 25cm2 5 3 9cm2 = 32 Area 4 16cm2 4 x 4 = 42

  4. Theorem is… a2 + b2 = c2 c a b

  5. 25cm2 9cm2 16cm2 Special Triangle Each Side is a Whole Number in Length 5 3 4 PYTHAGOREAN TRIPLE

  6. Example : Calculate Hypotenuse 72 + 32 = c2 49 + 9 = c2 c2 = 58 c cm c = √58 3 cm c= 7.6157….cm c= 7.6cm 7 cm

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