A triangle is drawn and a circle of radius 3 is inscribed in it so as to be tangent at three points. A smaller circle of radius 1 is inscribed to be tangent to the larger circle and twice tangent to the triangle. What is the area of the triangle?
I am pretty confident the large circle must be the incircle, but as I am not given the lengths of the triangle's sides, nor any information about its construction, I have been stumped. Can someone help me answer this question?