62 lines
989 B
Markdown
62 lines
989 B
Markdown
---
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id: 5900f4941000cf542c50ffa7
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challengeType: 5
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title: 'Problem 296: Angular Bisector and Tangent'
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---
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## Description
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<section id='description'>
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Given is an integer sided triangle ABC with BC ≤ AC ≤ AB.k is the angular bisector of angle ACB.m is the tangent at C to the circumscribed circle of ABC.n is a line parallel to m through B.
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The intersection of n and k is called E.
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How many triangles ABC with a perimeter not exceeding 100 000 exist such that BE has integral length?
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</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>euler296()</code> should return 1137208419.
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testString: assert.strictEqual(euler296(), 1137208419);
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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 euler296() {
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// Good luck!
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return true;
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}
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euler296();
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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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