Beyond Pythagoras - Pythagorean Triples

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Beyond Pythagoras

Pythagorean Triples:

Three integers a, b, and c that satisfy a2 + b2 = c2 are called Pythagorean Triples.

a2 + b2 = c2

The numbers 3, 4 and 5 satisfy the condition because:

32 + 42 = 52

32 = 3 x 3 = 9

42 = 4 x 4 =16

52 = 5 x 5 = 25

32 + 42 = 9 +16 = 25 = 52

1. Each of the following sets of numbers satisfy a similar condition of

(smallest number)2 + (middle number)2 = (largest number)2

a) 5, 12, 13.

52 + 122 = 132

52 = 5 x 5 = 25

122 = 12 x 12 = 144

132 = 13 x 13 = 169

52 + 122 = 25 +144 = 169 = 132

b) 7, 24, 25

72 + 242 = 252

72 = 7 x 7 = 49

242 = 24 x 24 = 576

252 = 25 x 25 =