ABC is a right - angled triangle with ∠ABC = 90°. The centre of the incircle of the given triangle is at O, whose radius is 2 cm. Two more circles with centres at O1 and O2, touch this circle and the two sides as shown in the figure given below.
Further, MA ∶ MC = 2 ∶ 3.

What is the radius of the circle with centre at O1