As in the first problem a 30-60-90° triangle is joined to a 45-90-45° triangle, long side to short side to form a composite quadrilateral. In this new problem a circle is fitted lower in the diagram such that it is tangential to only the hypotenuse of the 45-90-45° triangle and to two sides of 30-60-90° triangle. What is the radius of the circle? Scale the diagram as convenient for your calculations. Which of these two problems has the bigger circle?
