MathDB

SMT 2020 Geometry #6

Source:

August 9, 2023

geometryanalytic geometry

Problem Statement

Consider triangle

ABC

on the coordinate plane with

A = (2, 3)

and

C =\left( \frac{96}{13} , \frac{207}{13} \right)

. Let

B

be the point with the smallest possible

y

-coordinate such that

AB = 13

and

BC = 15

. Compute the coordinates of the incenter of triangle

ABC