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Revision Notes: Pythagoras Theorem | Mathematics Class 9 ICSE PDF Download

  • Pythagoras theorem: In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the remaining two sides. 
    Revision Notes: Pythagoras Theorem | Mathematics Class 9 ICSEIn right angled ΔABC right angled at B, side AC is the hypotenuse, then by Pythagoras theorem, AC2 = AB+ BC2
  • Converse of Pythagoras theorem: If, in any triangle, the square of the longest side is equal to the sum of the squares of the remaining two sides, then the triangle is right triangle and the angle opposite the longest side is a right angle. 
    Revision Notes: Pythagoras Theorem | Mathematics Class 9 ICSEFor the ΔABC, AC2 = AB2 + BC2, then by converse of Pythagoras Theorem, ΔABC is right angled at B. 
  • If a, b, c are such number that a2 + b2 = c2, then a, b, c form a Pythagorean triplet. For example, 3, 4, 5 and 7, 24, 25 are Pythagorean triplets.
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