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Area a x a + Area b x b = Area c x c

c. a. b. Area a x a + Area b x b = Area c x c. If a x a = 9 Then a =. c. a. b. Area a x a + Area b x b = Area c x c. If a x a = 9 Then a = 3. c. a. b. Area a x a + Area b x b = Area c x c. If b x b = 16 Then

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Area a x a + Area b x b = Area c x c

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  1. c a b Area a x a + Area b x b = Area c x c

  2. If a x a = 9 Then a = c a b Area a x a + Area b x b = Area c x c

  3. If a x a = 9 Then a = 3 c a b Area a x a + Area b x b = Area c x c

  4. If b x b = 16 Then b = c a b Area a x a + Area b x b = Area c x c

  5. If b x b = 16 Then b = 4 c a b Area a x a + Area b x b = Area c x c

  6. If c x c = 25 Then c = c a b Area a x a + Area b x b = Area c x c

  7. If c x c = 25 Then c = 5 c a c squared = 25 a squared + b squared = 25The sq root of c squared = 5 sq root of a squared = 3 sq root of b squared = 4 b Area a x a + Area b x b = Area c x c

  8. If c x c = 25 Then c = 5 c a c squared = 25 a squared + b squared = 25The sq root of c squared = 5 sq root of a squared = 3 sq root of b squared = 4 b What do you notice when you add up The sq roots of a2 and b2? Do they equal the sq root of c2 ?

  9. c is equal to the square root of a2 + b2 c a Even though a2 + b2 = c2 a + b ≠ cBut we now know that if we add the two smaller squares, they are equal to the larger square resting on the line opposite the Right AngleThis is why we have to get the square root of a2 + b2 together first – so we can find the square root of c2 which is c b

  10. c a So c squared equals a squared + b squared This is called Pythagoras’ Theorem We can use it to find the hypotenuse or either of the other two sides of a Right angled triangle by working out the square roots b

  11. c squared = a squared + b squared so:The hypotenuse (the long line opposite the 90o angle)is the sq root of c c a This is called Pythagoras’ Theorem We can use it to find the hypotenuse or either of the other two sides of a Right angled triangle by working out the square roots b

  12. a squared = c squared - b squared and b squared = c squared - a squared c a This is called Pythagoras’ Theorem We can use it to find the hypotenuse or either of the other two sides of a Right angled triangle by working out the square roots b

  13. c Remember: a c squared equals a squared + b squared This is called Pythagoras’ Theorem We can use it to find the hypotenuse or either of the other two sides of a Right angled triangle by working out the square roots b

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