Find the distance between the points r(0, 5) and s(12, 3)

Solution:

Distance between two points (x₁, y₁) and (x₂, y₂) is given by the expression:

Distance = √(x₁ - x₂)² + (y₁- y₂)²

The distance between r(0, 5) and s(12, 3) is calculated as below:

x₁ = 0; x₂ = 12

y₁ = 5; y₂ = 3

Distance(rs) = √(0 - 12)² + (5 - 3)²

Distance = √[(12)² + (2)²] = √144 + 4

Distance = √148 = √4 × 37 = 2√37 = 12.166

Find the distance between the points r(0, 5) and s(12, 3)

Summary:

The Distance from ((0, 5) and (12, 3).is 2√37 or 12.166