Answer :


ABC is a right angled triangle. O is the mid point of hypotenuse AC, such that OA = OC


Draw CD||AB and join AD, such that AB = CD and AD = BC


Now quad ABCD is a rectangle, since each angle is a right angle and opposite sides are equal and


parallel.


We know in a rectangle diagonals are of equal length and they bisect each other.


Therefore, AC = BD


And also, AO = OC =BO =OD


Hence, O is equidistant from A, B and C.

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