Question

What is the distance between (4,2) and (8,5)

Answer 1

The distance between points P1 = (4,2) and P2=(8,5) is 5.

Explanation:

Let P1 = (4,2) and P2=(8,5)

The distance between two points can be found using formula:

`d(P,Q), \sqrt{(x_(2)-x_(1))^2+ (y_(2)-y_(1))^2}`

where x₁ = 4 , x₂=8, y₁= 2 and y₂ = 5

Putting values in the formula

`=√((8-4)^2+(5-2)^2) \\=√((4)^2+(3)^2) \\=√(16+9) \\=√(25) \\=5`

So, the distance between points P1 = (4,2) and P2=(8,5) is 5.