793 B
793 B
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.
How many triangles ABC with a perimeter not exceeding 100 000 exist such that BE has integral length?
--hints--
euler296()
should return 1137208419.
assert.strictEqual(euler296(), 1137208419);
--seed--
--seed-contents--
function euler296() {
return true;
}
euler296();
--solutions--
// solution required