yaworsw/euler-manager

---
:id: 296
:name: Angular Bisector and Tangent
:url: https://projecteuler.net/problem=296
:content: "Given is an integer sided triangle <var>ABC</var> with <var>BC</var> ≤
  <var>AC</var> ≤ <var>AB</var>.  \n<var>k</var> is the angular bisector of angle
  <var>ACB</var>.  \n<var>m</var> is the tangent at <var>C</var> to the circumscribed
  circle of <var>ABC</var>.  \n<var>n</var> is a line parallel to <var>m</var> through
  <var>B</var>.  \nThe intersection of <var>n</var> and <var>k</var> is called <var>E</var>.\n\n
  ![p296_bisector.gif]({{ images_dir }}/p296_bisector.gif)\n\nHow many triangles <var>ABC</var>
  with a perimeter not exceeding 100 000 exist such that <var>BE</var> has integral
  length?\n\n"