Area of a Triangle from Exradii
The area of a triangle can be expressed in terms of its exradii, which are the radii of the circles tangent to one side and the other two extended sides. The formula for the area is: Area = (s – a)(s – b)(s – c)/4r1r2r3, where s is the semiperimeter, a, b, and c are the side lengths, and r1, r2, and r3 are the exradii opposite to sides a, b, and c, respectively.
