---
id: 5900f4941000cf542c50ffa7
title: 'Problem 296: Angular Bisector and Tangent'
challengeType: 5
forumTopicId: 301948
dashedName: problem-296-angular-bisector-and-tangent
---

# --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?

# --hints--

`euler296()` should return 1137208419.

```js
assert.strictEqual(euler296(), 1137208419);
```

# --seed--

## --seed-contents--

```js
function euler296() {

  return true;
}

euler296();
```

# --solutions--

```js
// solution required
```