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---
id: 5900f4941000cf542c50ffa7
title: 'Problem 296: Angular Bisector and Tangent'
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challengeType: 5
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forumTopicId: 301948
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dashedName: problem-296-angular-bisector-and-tangent
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---
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# --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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# --hints--
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`euler296()` should return 1137208419.
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```js
assert.strictEqual(euler296(), 1137208419);
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```
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# --seed--
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## --seed-contents--
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```js
function euler296() {
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return true;
}
euler296();
```
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# --solutions--
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```js
// solution required
```
