pythagoras theorem

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MATHEMATICS PYTHAGORAS THEOREM

Transcript of pythagoras theorem

  1. 1. MATHEMATICS
  2. 2. WHAT IS PYTHAGORAS THEOREM? MATHEMATICS
  3. 3. PYTHAGORAS IS SAID TO HAVE FOUND THE VERY IMPORTANT PROPERTY OF RIGHT ANGLED TRIANGLES, CALLED PYTHAGORAS THEORUM.THE PROPERTY HAS BEEN NAMED AFTER HIM AS HE IS BELIEVED TO HAVE BEEN THE FIRST TO GIVE A PROOF OF THIS PROPERTY. THE THEOREM STARTED AS: IN A RIGHT ANGLED TRIANGLE, THE SQUAREOF THE HYPOTENUSE IS EQUAL TO THE SUM OF THE SQUARES OF OTHER TWO SIDES. PYTHAGORAS THEOREM.
  4. 4. NOTE: PYTHAGORAS THEOREM HOLDS TRUE ONLY IF THE TRIANGLE IS RIGHT ANGLED. PYTHAGORAS THEOREM. MATHEMATICS
  5. 5. WHO WAS PYTHAGORAS? MATHEMATICS
  6. 6. PYTHAGORAS WAS A BRILLIANT GREEK MATHEMATICIAN AND PHILOSOPHER OF 6th CENTURY BC. PYTHAGORAS MATHEMATICS
  7. 7. APPLICATION & USAGE OF PYTHAGORAS THEOREM IN REAL LIFE. IT IS THE STARTING PLACE FOR TRIGNOMETRY. IT IS USED TO MEASURE THE UNKNOWN HEIGHTS OF OBJECTS. IT IS USED IN NAVIGATION, CARTOGRAPHY, FINDING ANGLES OF ELEVASION AND DEPRESSION. MATHEMATICS
  8. 8. MATHEMATICS REAL LIFE SITUATIONS WHERE WE USE PYTHAGORAS THEOREM:
  9. 9. MATHEMATICS
  10. 10. MATHEMATICS
  11. 11. MATHEMATICS
  12. 12. MATHEMATICS PROOF FOR PYTHAGORAS THEOREM
  13. 13. PYTHAGOREAN TRIPLET THREE NATURAL NUMBERS IN WHICH THE SQUARE OF LARGEST NUMBER IS EQUAL TO THE SUM OF THE SQUARE OF THE OTHER TWO NUMBERS FORM A PYTHAGOREAN TRIPLET. SOME PYTHAGOREAN TRIPLETS: 9,12,15 3,4,5 5,12,13 6,8,10 8,15,17 7,24,30 12,35,37 15,36,39 MATHEMATICS
  14. 14. THANK YOU PRESENTED BY M.AJITESH VII B MATHEMATICS