# Problem 296: Angular Bisector and Tangent
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?