Find the distance between the points (1, 2) and (4, 3).

Solution:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the relationship:

Distance between the two points = d = √[(x₂ − x₁)² + (y₂ − y₁)²]

= \(\sqrt{(4-(1))^{2} + (3-(2))^{2}}\)

= \(\sqrt{(3)^{2} + (1)^{2}}\)

= \(\sqrt{9 +1}\)

d= √10

Find the distance between the points (1, 2) and (4, 3).

Summary:

The distance between the points (1, 2) and (4, 3) is √10.