MathDB

In the coordinate plane, a point is called a

\text{lattice point}

if both of its coordinates are integers. Let

A

be the point

(12,84)

. Find the number of right angled triangles

ABC

in the coordinate plane

B

and

C

are lattice points, having a right angle at vertex

A

and whose incenter is at the origin

(0,0)

23