what is Pythagorean triplet
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Step-by-step explanation:
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime.
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime (that is, they have no common divisor larger than 1).[1] A triangle whose sides form a Pythagorean triple is called a Pythagorean triangle, and is necessarily a right triangle.
Answer:
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. ... The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle.
What is a Pythagorean Triplet? Give Examples.
Answer: Pythagorean triplet is a set of 3 positive integers which satisfies the Pythagorean theorem. In general, the three positive integers of a Pythagorean triplet are represented by the lower case letters of English alphabet (a, b and c). The letter 'c' represents the largest number whose square is equal to the sum of the squares of the other to numbers. This is mathematically represented as: c2 = a2 + b2.A triangle whose sides can be represented as a Pythagorean triplet is called a Pythagorean triangle. It should obviously be a right triangle because it satisfies the rule of Pythagoras theorem.
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