---
id: 5900f4941000cf542c50ffa7
challengeType: 5
title: 'Problem 296: Angular Bisector and Tangent'
---

## Description
<section id='description'>
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.
The intersection of n and k is called E.



How many triangles ABC with a perimeter not exceeding 100 000 exist such that BE has integral length?
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler296()</code> should return 1137208419.
    testString: assert.strictEqual(euler296(), 1137208419, '<code>euler296()</code> should return 1137208419.');

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler296() {
  // Good luck!
  return true;
}

euler296();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>
