What is the distance between the points (3, 12) and (14, 2)?

Solution:

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

Distance between the two points = \(\sqrt{(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2}}\)

= \(\sqrt{(3-14)^{2} + (12-2)^{2}}\)

= \(\sqrt{(-11)^{2} + (10))^{2}}\)

= \(\sqrt{121 + 100}\)

= √221

What is the distance between the points (3, 12) and (14, 2)?

Summary:

The distance between the points (3, 12) and (14, 2) is √221