What is the distance between the points (2, 5) and (5, 7)?

Solution:

Given (2, 5) and (5, 7)

Distance between two points is given as d

d= √[(x₂ - x₁)² + (y₂ - y₁)²]

Here x₁ = 2, y₁ = 5, x₂ = 5 and y₂ = 7

d= √(5 - 2)² + (7 - 5)²

d=√(3² + 2²)

d= √(9 + 4)

d= √13

Therefore, the distance between the points is √13.

What is the distance between the points (2, 5) and (5, 7)?

Summary:

The distance between the points (2, 5) and (5, 7) is √13.