Question

What is the pythagorean triplet for 4.7 and 3.2 cm?
Please answer quickly and if possible please explain the formula you are using.
I will mark your answer as Brainliest.​

Answer 1

If the number is odd: Square the number N and then divide it by 2. Take the integer that is immediately before and after that number i.e. (N2/2 -0.5) and (N2/2 +0.5).

Pythagorean triplet= N, (N2/2 -0.5), (N2/2 +0.5)

Example: Take number N=3.

On squaring the number, we get 9.

Now take the half of it. 9/2= 4.5

The integer immediately before 4.5= 4; the integer immediately after 4.5= 5

Therefore, the triplet is 3, 4, 5.

If the number is even: Take the half of that number N and then square it.

Pythagorean triplet= N, (N/2)2-1, (N/2)2+1

Example: Take number N=8

Half of N=4.

Pythagorean triplet= 8, (42-1), (42+1) i.e. 8, 15, 17

Note: If a, b, c is a Pythagorean triplet, then ka, kb, kc will also form a Pythagorean triplet; where k= integer. As (3, 4, 5) is a triplet, (6,8,10), (9,12,15),(12,16,20),...(30,40,50), all these will also be triplets.

Commonly Used Pythagorean Triplets

Three numbers which satisfy Pythagorean Theorem form a Pythagorean Triplets. Some commonly used Pythagorean triplets asked in the exams directly or indirectly are:

3,4,5; 5,12,13; 7,24,25; 9,40,41; 11,60,61; 12,35,37; 8,15,17; 28,45,53; 20,21,29; 16,63,65

Let us learn the application of Pythagorean triplets with the help of some examples.