---
id: 5900f4941000cf542c50ffa7
challengeType: 5
title: '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?
## Instructions
## Tests
```yml
tests:
- text: euler296() should return 1137208419.
testString: assert.strictEqual(euler296(), 1137208419, 'euler296() should return 1137208419.');
```
## Challenge Seed
```js
function euler296() {
// Good luck!
return true;
}
euler296();
```