A straight line passes through a point \(A(2,5)\) and makes an angle of \(45^\circ\) with the positive X-axis when measured in positive direction. If this line intersects the line passing through the points \((1,-2)\) and \((3,-4)\) at \(B\), then \(AB=\)
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In coordinate geometry problems involving intersection, always first write equations of both lines clearly. Solving simultaneous equations accurately is the key step before applying distance formula.