Semi-circle is all set to blow your mind !

Geometry Level 2

Given a right triangle ΔABC \Delta ABC ; right angled at B .

If the measure of AB AB , BC BC and CA CA are 3 3 , 4 4 and 5 5 units respectively .

If the radius i.e OB \overline{OB} of the circle with centre O O as shown , can be represented as ab \dfrac{a}{b} , where a a and b b are coprime .

Find a+b a + b .

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