freeCodeCamp/curriculum/challenges/en/08-coding-interview-prep/project-euler/problem-296-angular-bisector-and-tangent.en.md

id, challengeType, title

id	challengeType	title
5900f4941000cf542c50ffa7	5	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

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

Challenge Seed

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

euler296();

Solution

// solution required