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What are Pythagorean Triplets? Video Lecture - Class 8

FAQs on What are Pythagorean Triplets? Video Lecture - Class 8

1. What are Pythagorean Triplets?

Ans. Pythagorean triplets are sets of three positive integers that satisfy the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides in a right-angled triangle.

2. How can I identify Pythagorean triplets?

Ans. Pythagorean triplets can be identified by using the Pythagorean theorem. If the sum of the squares of the two shorter sides of a triangle is equal to the square of the longest side (hypotenuse), then it is a Pythagorean triplet.

3. Can Pythagorean triplets have decimal or negative values?

Ans. No, Pythagorean triplets are only defined for positive integers. Decimal or negative values are not considered Pythagorean triplets.

4. How many Pythagorean triplets are there?

Ans. There are infinitely many Pythagorean triplets. This is because for any two positive integers, there exists a unique Pythagorean triplet.

5. Can Pythagorean triplets be used to solve real-world problems?

Ans. Yes, Pythagorean triplets can be applied to solve various real-world problems involving right-angled triangles. They are commonly used in fields such as architecture, engineering, and physics to calculate distances, determine angles, or validate the accuracy of measurements.

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