MathDB

Let

\triangle ABC

be a triangle with

AB=10

and

AC=16,

and let

I

be the intersection of the internal angle bisectors of

\triangle ABC.

Suppose the tangents to the circumcircle of

\triangle BIC

B

and

C

intersect at a point

P

with

PA=8.

Compute the length of

{BC}.

Proposed by Kyle Lee

Problem Statement