# Orthogonal Circles

**Geometry**Level 4

*A*,

*B*, and

*C*, have radii of 6, 8, and 9 respectively. Find the area of \(\Delta ABC\).

*Two circles are* orthogonal *to each other if a) they intersect in two points, and b) the two lines tangent to the two circles at each intersection point are perpendicular. So three or more circles are* mutually orthogonal *if every pair of them are orthogonal to each other.*