Answer to Question #100779 in Trigonometry for Aravind

Question

How to find the maximum Pythagorean triplets if altitude is 40

Answer 1

Formulas for obtaining Pythagorean triples:

a = 2m +1 , b = 2m(m+1) = 2m² + 2m , c = 2m² + 2m + 1.

If m = 4,

a = 2*4 +1= 9,

b = = 2*4² + 2*4 = 40 ,

c = 2*4² + 2*4 + 1 = 41.

9² + 40² = 41²

9, 40, 41