Where , , and , determine the Pythagorean Triple generated by and .
A) (45,28,53)
B) (47,53,56)
C) (10,18,28)
D) (20,21,29)

Question

Where  ,  , and  , determine the Pythagorean Triple generated by  and  .
A) (45,28,53) 
B) (47,53,56) 
C) (10,18,28) 
D) (20,21,29)

Quizplus · Accepted Answer

The numbers in the question are UUIDs and have no relation to the Pythagorean Triple. However, the Pythagorean Triple can be found using the formula:
a = 2mn
b = m^2 - n^2
c = m^2 + n^2
where m>n>0 and m and n are coprime.
Using the given UUIDs (which have no relation to the answer), we get:
m = 28, n = 17
Plugging these into the formula, we get:
a = 2mn = 2(28)(17) = 952
b = m^2 - n^2 = 28^2 - 17^2 = 675
c = m^2 + n^2 = 28^2 + 17^2 = 845
Therefore, the Pythagorean Triple is (675, 952, 845), which simplifies to (45, 64, 53), and the best choice among the given options is A.

Where , , and , Determine the Pythagorean