Is this the only triangle that all 4 circles touch the tangents?

What if you erased the top 2 circles, pushed the nose of the triangle down (increasing the top angle, decreasing the 2 base angles, and making the base wider to keep the sides tangent to the 2 circles). Now take a 2" circle and put it back up in the nose until it is tangent to the 2 sides.

Could a circle be put into the hole in the middle such that it would be tangent to the three 2" circles, AND tangent to the 2 sides of the triangle?