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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-296-angular-bisector-and-tangent.md
gikf 47fc3c6761 fix(curriculum): clean-up Project Euler 281-300 (#42922)
* fix: clean-up Project Euler 281-300

* fix: missing image extension

* fix: missing power

Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>

* fix: missing subscript

Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>

Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
2021-07-22 12:38:46 +09:00

1.2 KiB

id, title, challengeType, forumTopicId, dashedName
id title challengeType forumTopicId dashedName
5900f4941000cf542c50ffa7 Problem 296: Angular Bisector and Tangent 5 301948 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.

triangle ABC, with k - the angular bisector of angle ACB, m - tangent at point C, n - line parallel to m through B, and point E - intersection of k and n

How many triangles ABC with a perimeter not exceeding 100\\,000 exist such that BE has integral length?

--hints--

angularBisectorAndTangent() should return 1137208419.

assert.strictEqual(angularBisectorAndTangent(), 1137208419);

--seed--

--seed-contents--

function angularBisectorAndTangent() {

  return true;
}

angularBisectorAndTangent();

--solutions--

// solution required