Question

Write a program that will find pythagorean triplets between 1 and 100.

Answer 1

Answer:

Pythagorean triplets are sides of right angled triangle . We can find it by using this formula:

2m, m sq.-1, m sq.+1

For example - 6, 8, 10

12, 16,20

24, 32, 40 etc.

Answer 2

Required program :-

class Pythagorean

{

void main ( )

{

int a , b , c ;

for (a = 1 ; a <= 100 ; a++)

{

for (b = a + 1 ; b <= 100 ; b++ )

{

for (c = b + 1 ; c <= 100 ; c++ )

{

if (a*a + b*b == c*c);

System.out.println (a + "\t" + b + "\t" + c);

}

}

}

}

}

Explaination :-

• Line 3 : Three numbers are entered. a , b , c. Value of a is 1 , b is 2 , c is 3.
• Line 6 : For loop is used. Loop has been started from 1 and runned till 100. With an increment of 1.
• Line 8 : Loop has been entered for b.
• Line 10 : Loop has been entered for c.
• Line 12 : If condition has been used. If the given condition is true then the message is displayed.
• Line 13 : Message is displayed.

★ Working of loop :-