Semi-circle is all set to blow your mind !
Geometry
Level
2
Given a right triangle \( \Delta ABC \) ; right angled at B .
If the measure of \( AB \) , \( BC \) and \( CA \) are \( 3 \) , \( 4 \) and \( 5 \) units respectively .
If the radius i.e \( \overline{OB} \) of the circle with centre \( O \) as shown , can be represented as \( \dfrac{a}{b} \) , where \( a \) and \( b \) are coprime .
Find \( a + b \).
by
Priyansh Sangule