ee1e8abd87
* feat(tools): add seed/solution restore script * chore(curriculum): remove empty sections' markers * chore(curriculum): add seed + solution to Chinese * chore: remove old formatter * fix: update getChallenges parse translated challenges separately, without reference to the source * chore(curriculum): add dashedName to English * chore(curriculum): add dashedName to Chinese * refactor: remove unused challenge property 'name' * fix: relax dashedName requirement * fix: stray tag Remove stray `pre` tag from challenge file. Signed-off-by: nhcarrigan <nhcarrigan@gmail.com> Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
53 lines
1.8 KiB
Markdown
53 lines
1.8 KiB
Markdown
---
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id: 5900f3c71000cf542c50feda
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title: 'Problem 91: Right triangles with integer coordinates'
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challengeType: 5
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forumTopicId: 302208
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dashedName: problem-91-right-triangles-with-integer-coordinates
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---
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# --description--
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The points P (`x`<sub>1</sub>, `y`<sub>1</sub>) and Q (`x`<sub>2</sub>, `y`<sub>2</sub>) are plotted at integer co-ordinates and are joined to the origin, O(0,0), to form ΔOPQ.
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<img class="img-responsive center-block" alt="a graph plotting points P (x_1, y_1) and Q(x_2, y_2) at integer coordinates that are joined to the origin O (0, 0)" src="https://cdn-media-1.freecodecamp.org/project-euler/right-triangles-integer-coordinates-1.png" style="background-color: white; padding: 10px;">
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There are exactly fourteen triangles containing a right angle that can be formed when each co-ordinate lies between 0 and 2 inclusive; that is, 0 ≤ `x`<sub>1</sub>, `y`<sub>1</sub>, `x`<sub>2</sub>, `y`<sub>2</sub> ≤ 2.
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<img class="img-responsive center-block" alt="a diagram showing the 14 triangles containing a right angle that can be formed when each coordinate is between 0 and 2" src="https://cdn-media-1.freecodecamp.org/project-euler/right-triangles-integer-coordinates-2.png" style="background-color: white; padding: 10px;">
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Given that 0 ≤ `x`<sub>1</sub>, `y`<sub>1</sub>, `x`<sub>2</sub>, `y`<sub>2</sub> ≤ 50, how many right triangles can be formed?
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# --hints--
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`rightTrianglesIntCoords()` should return a number.
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```js
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assert(typeof rightTrianglesIntCoords() === 'number');
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```
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`rightTrianglesIntCoords()` should return 14234.
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```js
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assert.strictEqual(rightTrianglesIntCoords(), 14234);
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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 rightTrianglesIntCoords() {
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return true;
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}
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rightTrianglesIntCoords();
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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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