Question

Which expression gives the distance between the two points 2 5 and 4 8

Answer 1

Answer:

The distance between the two points (2 ,5) and (4, 8) is 3.61

Step-by-step explanation:

The distance between two points can be calculated by using formula

$D(d_{1},d_{2}) = \sqrt{(x_{2}- x_{1})^2+(y_{2}- y_{1})^2}$

Here x₁ = 2, y₁ = 5, x₂ = 4 and y₂ = 8

Finding distance between two points

$D(d_{1},d_{2}) = \sqrt{(4-2)^2+(8-5)^2}\\D(d_{1},d_{2}) = \sqrt{(2)^2+(3)^2}\\D(d_{1},d_{2}) = \sqrt{4+9}\\D(d_{1},d_{2}) = \sqrt{13}\\D(d_{1},d_{2}) = 3.61$

So, the distance between the two points (2 ,5) and (4, 8) is 3.61