Question

24,5,25. Find the pythagerran triplet.​

Answer 1

ANSWER!

Pythagorean Triplets:

Question:

(24, 5, 25)

Answer:

24² = 576

5² = 25

25² = 625

According to the Pythagorean triplet,

the square of the largest number(25) should be equal to the sum of the squares of the remaining two numbers (24 and 5)

.•. by Pythagorean Triplet,

= 24² + 5²

= 576 + 25

= 601

24² + 5² < 25².

601 < 625.

.•. (24,5,25) is not a Pythagorean Triplet.

More about the concept:

• Pythagorean Triplet :

In a triplet of positive integers, if the squares of the largest number is equal to the sum of the squares of the remaining two numbers, then the group of these three numbers is called Pythagorean Triplet.

For example:

Let's assume, a, b, c are three positive integers and a is the largest integer and a²= b² + c² then (a, b, c) is a Pythagorean triplet.

• Formula to find Pythagorean Triplet:

If p, q and r are positive integers and p>q then,

[ ( p²+q²), (p²-q²),(2pq)]is a Pythagorean triplet

The above formula can be used to find various Pythagorean triplet by assuming different values of p and q.