Math, asked by chandanrewatkar2020, 9 months ago

what is Pythagorean triplet?​

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Answered by Anonymous
1

Answer:

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.

Answered by Anonymous
13

Answer

Pythagorean triple consists of three positive integers a, b, and c, such that

a² + b² = c².

  • The square of the length of the hypotenuse of a right triangle is the sum of the squares of the lengths of the two sides. This is usually expressed as a2+b2 = c2.
  • Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13).

Example: The smallest Pythagorean Triple is 3, 4 and 5.

Let's check it:

32 + 42 = 52

Calculating this becomes:

9 + 16 = 25

Yes, it is a Pythagorean Triple!

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