In a right angled isosceles triangle with equal sides of 1 unit and 1 unit, the

In a right angled isosceles triangle with equal sides of 1 unit and 1 unit, the

In a right angled isosceles triangle with equal sides of 1 unit and 1 unit, the third side will be sqroot(2) according to Pythagoras theorem. But sqroot(2)= 1.414213562373095... It is never ending. So theoretically we cannot determine its exact length. But physically it should have a definite length! The side is touching the other two sides of the triangle, so how can the length be theoretically indeterminate but physically determinate ? Does this mean the human understanding is limited and we cannot fully understand the mind of god ? Can you resolve this dilemma ?

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