56 lines
1.2 KiB
Markdown
56 lines
1.2 KiB
Markdown
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---
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id: 5900f46e1000cf542c50ff80
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challengeType: 5
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videoUrl: ''
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localeTitle: 问题257：角度平分器
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---
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## Description
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<section id="description">给定是一个整数边三角形ABC，边a≤b≤c。 （AB = c，BC = a且AC = b）。三角形的角平分线在点E，F和G处与两侧相交（见下图）。 <p>段EF，EG和FG将三角形ABC划分为四个较小的三角形：AEG，BFE，CGF和EFG。可以证明，对于这四个三角形中的每一个，比率区域（ABC）/面积（子三角形）是合理的。然而，存在这些比率中的一些或全部是积分的三角形。 </p><p>存在多少个周长≤100,000,000的三角形ABC，以便比率面积（ABC）/面积（AEG）是整数？ </p></section>
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## Instructions
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<section id="instructions">
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler257()</code>应该返回139012411。
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testString: assert.strictEqual(euler257(), 139012411);
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler257() {
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// Good luck!
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return true;
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}
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euler257();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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/section>
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