freeCodeCamp/guide/english/certifications/coding-interview-prep/project-euler/problem-9-special-pythagorean-triplet/index.md

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Special Pythagorean triplet

Problem 9: Special Pythagorean triplet

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Problem Explanation

• In this challenge we need to find the pythagorean triple.
• We have the following information - a < b < c
• Based on this, we can make a loop starting from a = 0 and b = a since a < b always.
• We also know that a + b + c = n and a^2 + b^2 = c^2, since we have a, b and n. We can find c and see if it satisfies the triplet theorem.

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Solutions

Solution 1 (Click to Show/Hide)

function specialPythagoreanTriplet(n) {
  let sumOfabc = n;
  for (let a = 1; a < n; a++) {
    for (let b = a; b < n; b++) {
      let c = n - a - b;
      if (c > 0) {
        if (c ** 2 == a ** 2 + b ** 2) {
          return a * b * c;
        }
      }
    }
  }
}

specialPythagoreanTriplet(1000);

Relevant Links

• Wikipedia