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* fix: clean-up Project Euler 121-140 * fix: corrections from review Co-authored-by: Sem Bauke <46919888+Sembauke@users.noreply.github.com> * fix: missing backticks Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com> * fix: corrections from review Co-authored-by: Tom <20648924+moT01@users.noreply.github.com> * fix: missing delimiter Co-authored-by: Sem Bauke <46919888+Sembauke@users.noreply.github.com> Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com> Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
47 lines
1.4 KiB
Markdown
47 lines
1.4 KiB
Markdown
---
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id: 5900f3f71000cf542c50ff0a
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title: 'Problem 139: Pythagorean tiles'
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challengeType: 5
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forumTopicId: 301767
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dashedName: problem-139-pythagorean-tiles
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---
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# --description--
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Let (a, b, c) represent the three sides of a right angle triangle with integral length sides. It is possible to place four such triangles together to form a square with length c.
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For example, (3, 4, 5) triangles can be placed together to form a 5 by 5 square with a 1 by 1 hole in the middle and it can be seen that the 5 by 5 square can be tiled with twenty-five 1 by 1 squares.
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<img class="img-responsive center-block" alt="two 5 x 5 squares: one with four 3x4x5 triangles placed to create 1x1 hole in the middle; second with twenty-five 1x1 squares" src="https://cdn.freecodecamp.org/curriculum/project-euler/pythagorean-tiles.png" style="background-color: white; padding: 10px;">
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However, if (5, 12, 13) triangles were used, the hole would measure 7 by 7. These 7 by 7 squares could not be used to tile the 13 by 13 square.
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Given that the perimeter of the right triangle is less than one-hundred million, how many Pythagorean triangles would allow such a tiling to occur?
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# --hints--
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`pythagoreanTiles()` should return `10057761`.
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```js
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assert.strictEqual(pythagoreanTiles(), 10057761);
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```
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# --seed--
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## --seed-contents--
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```js
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function pythagoreanTiles() {
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return true;
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}
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pythagoreanTiles();
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```
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# --solutions--
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```js
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// solution required
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```
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