Answer:
The distance between points P1 = (4,2) and P2=(8,5) is 5.
Step-by-step explanation:
Let P1 = (4,2) and P2=(8,5)
The distance between two points can be found using formula:
[tex]d(P,Q), \sqrt{(x_{2}-x_{1})^2+ (y_{2}-y_{1})^2}[/tex]
where x₁ = 4 , x₂=8, y₁= 2 and y₂ = 5
Putting values in the formula
[tex]=\sqrt{(8-4)^2+(5-2)^2} \\=\sqrt{(4)^2+(3)^2} \\=\sqrt{16+9} \\=\sqrt{25} \\=5[/tex]
So, the distance between points P1 = (4,2) and P2=(8,5) is 5.
