Pythagorean triplet consists of
three positive integers namely a,b and c in such a way that a2 + b2 = c2.
Some examples of Pythagorean triplets
are :
(
3 , 4 , 5 )
|
(
5, 12, 13)
|
(
7, 24, 25)
|
(
8, 15, 17)
|
(
9, 40, 41)
|
(11,
60, 61)
|
(12,
35, 37)
|
(13,
84, 85)
|
(16,
63, 65)
|
(20,
21, 29)
|
(28,
45, 53)
|
(33,
56, 65)
|
(36,
77, 85)
|
(39,
80, 89)
|
(48,
55, 73)
|
(65,
72, 97)
|
Here is the bluej program where the Pythagorean triplets staring from 1
to 50 are displayed.
class Max
{
int i,j,k,a,b,c,m=50;
public void disp()
{
System.out.println("The
Pythogorean triplets are");
for(i=1;i< m-2;i++)
{
for(j=i+1;j< m-1;j++)
{
for(k=j+1;k< m;k++)
{
a=i;
b=j;
c=k;
if(a*a+b*b==c*c)
System.out.println("("+a+
","+b+","+c+")");
}
}
}
}
public static void main(String
args[])
{
Max ob=new Max();
ob.disp();
}
}
Sample output:
The Pythogorean triplets are
(3,4,5)
(5,12,13)
(6,8,10)
(7,24,25)
(8,15,17)
(9,12,15)
(9,40,41)
(10,24,26)
(12,16,20)
(12,35,37)
(15,20,25)
(15,36,39)
(16,30,34)
(18,24,30)
(20,21,29)
(21,28,35)
(24,32,40)
(27,36,45)
No comments:
Post a Comment