MathDB

computational with incircle of a right triangle, AP = QM

Source: 2010 Argentina OMA L3 p2

June 17, 2020

geometryincircleright triangle

Problem Statement

Let

ABC

be a triangle with

\angle C = 90^o

and

AC = 1

. The median

AM

intersects the incircle at the points

P

and

Q

, with

P

between

A

and

Q

, such that

AP = QM

. Find the length of

PQ