MathDB

Two circumferences of radius

1

that do not intersect,

c_1

and

c_2

, are placed inside an angle whose vertex is

O

c_1

is tangent to one of the rays of the angle, while

c_2

is tangent to the other ray. One of the common internal tangents of

c_1

and

c_2

passes through

O

, and the other one intersects the rays of the angle at points

A

and

B

, with

AO=BO

. Find the distance of point

A

to the line

OB

Problem Statement