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

**Solution:**

The distance between two points (x_{1}, y_{1}) and (x_{2}, y_{2}) 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

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