diff --git a/Project-Euler/Problem9.js b/Project-Euler/Problem9.js new file mode 100644 index 000000000..a877c89d8 --- /dev/null +++ b/Project-Euler/Problem9.js @@ -0,0 +1,27 @@ +/* +Special Pythagorean triplet + +A Pythagorean triplet is a set of three natural numbers, a < b < c, for which, + +a^2 + b^2 = c^2 +For example, 32 + 42 = 9 + 16 = 25 = 52. + +There exists exactly one Pythagorean triplet for which a + b + c = 1000. +Find the product abc. +*/ + +const isPythagoreanTriplet = (a, b, c) => Math.pow(a, 2) + Math.pow(b, 2) === Math.pow(c, 2) + +const findSpecialPythagoreanTriplet = () => { + for (let a = 0; a < 1000; a++) { + for (let b = a + 1; b < 1000; b++) { + for (let c = b + 1; c < 1000; c++) { + if (isPythagoreanTriplet(a, b, c) && a + b + c === 1000) { + return a * b * c + } + } + } + } +} + +console.log(findSpecialPythagoreanTriplet())