The problem asks us to find the distance between two points A(3, 5) and B(0, 1).

GeometryDistance FormulaCoordinate Geometry2D Geometry
2025/7/9

1. Problem Description

The problem asks us to find the distance between two points A(3, 5) and B(0, 1).

2. Solution Steps

We will use the distance formula to find the distance between the two points. The distance formula is:
d=(x2x1)2+(y2y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
Here, (x1,y1)=(3,5)(x_1, y_1) = (3, 5) and (x2,y2)=(0,1)(x_2, y_2) = (0, 1).
Plugging these values into the distance formula, we get:
d=(03)2+(15)2d = \sqrt{(0 - 3)^2 + (1 - 5)^2}
d=(3)2+(4)2d = \sqrt{(-3)^2 + (-4)^2}
d=9+16d = \sqrt{9 + 16}
d=25d = \sqrt{25}
d=5d = 5

3. Final Answer

The distance between the points A(3, 5) and B(0, 1) is 5.

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