Answer:
(39,80,89)
Explanation:
A Pythagorean triple is one that consists of three positive integers a, b and c such that;
a² + b² = c²
In this case;
The terms are: (x²-y², 2xy, x²+y²) where x > y > 0 where x=8 and y=5
The terms are : x²-y² = 8²-5² = 64-25 = 39
: 2xy = 2*8*5 =16*5 = 80
: x²+y²= 8²+5²=64+25 = 89
Applying the Pythagorean triple;
a² + b² = c²
39² + 80² = 89²