Pythagorean Theorem is a special property of right angled triangles. If a, b and c are three sides of right triangle with a and b as legs, then

pythagoras-theorem 

right-triangle

Pythagorean Triplets

There are certain sets of positive integers that satisfy the Pythagorean Theorem. These sets of three integers are called Pythagorean triplets.  Some pythagorean triplets are very common. The largest number among the three integers represent the hypotenuse of the triangle.  Memorizing these common sets will spare some precious time in GMAT. Three most commonly used pythagorean triplets are:

  • 3, 4, 5
  • 5, 12, 13
  • 8, 15, 17

you can multiply any of those three sets by any integer and get a new set of Pythagorean Triplets. For example, the first set (3, 4, 5) in multiplies will be (6, 8, 10), (9, 12, 15), (12, 16, 20), and so on.