MathDB

Define the inverse of triangle

ABC

with respect to a point

O

in the following way: construct the circumcircle of

ABC

and construct lines

AO

BO

, and

CO

. Let

A'

be the other intersection of

AO

and the circumcircle (if

AO

is tangent, then let

A' = A

). Similarly define

B'

and

C'

. Then

A'B'C'

is the inverse of

ABC

with respect to

O

. Compute the area of the inverse of the triangle given in the plane by

A(-6, -21)

B(-23, 10)

C(16, 23)

with respect to

O(1, 3)

Problem Statement